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Finding the Fourth Proportional to 78,542.40, 117,640.80 and 69,787.20

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Solution

The fourth proportional to 78,542.40, 117,640.80 and 69,787.20 is: 104,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.40 : 117,640.80 = 69,787.20 : x
  2. Step 2: Convert to fraction form
    78,542.40/117,640.80 = 69,787.20/x
  3. Step 3: Cross multiply
    78,542.40x = 117,640.80 × 69,787.20
  4. Step 4: Simplify right side
    78,542.40x = 8,209,822,037.76
  5. Step 5: Solve for x
    x = 8,209,822,037.76/78,542.40
  6. Step 6: Final answer
    x = 104,527.26

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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.