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Finding the Fourth Proportional to 106,028,652.60, 159,042,978.90 and 78,818,873.40

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Solution

The fourth proportional to 106,028,652.60, 159,042,978.90 and 78,818,873.40 is: 118,228,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,028,652.60 : 159,042,978.90 = 78,818,873.40 : x
  2. Step 2: Convert to fraction form
    106,028,652.60/159,042,978.90 = 78,818,873.40/x
  3. Step 3: Cross multiply
    106,028,652.60x = 159,042,978.90 × 78,818,873.40
  4. Step 4: Simplify right side
    106,028,652.60x = 12,535,588,419,077,972
  5. Step 5: Solve for x
    x = 12,535,588,419,077,972/106,028,652.60
  6. Step 6: Final answer
    x = 118,228,310.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.