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Finding the Fourth Proportional to 82,893.60, 124,340.40 and 71,618.40

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Solution

The fourth proportional to 82,893.60, 124,340.40 and 71,618.40 is: 107,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.60 : 124,340.40 = 71,618.40 : x
  2. Step 2: Convert to fraction form
    82,893.60/124,340.40 = 71,618.40/x
  3. Step 3: Cross multiply
    82,893.60x = 124,340.40 × 71,618.40
  4. Step 4: Simplify right side
    82,893.60x = 8,905,060,503.36
  5. Step 5: Solve for x
    x = 8,905,060,503.36/82,893.60
  6. Step 6: Final answer
    x = 107,427.60

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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.