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Finding the Fourth Proportional to 106,713.76, 159,917.08 and 78,411.52

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Solution

The fourth proportional to 106,713.76, 159,917.08 and 78,411.52 is: 117,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.76 : 159,917.08 = 78,411.52 : x
  2. Step 2: Convert to fraction form
    106,713.76/159,917.08 = 78,411.52/x
  3. Step 3: Cross multiply
    106,713.76x = 159,917.08 × 78,411.52
  4. Step 4: Simplify right side
    106,713.76x = 12,539,341,316.76
  5. Step 5: Solve for x
    x = 12,539,341,316.76/106,713.76
  6. Step 6: Final answer
    x = 117,504.45

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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.