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Finding the Fourth Proportional to 78,312.80, 117,505.65 and 40,915.10

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Solution

The fourth proportional to 78,312.80, 117,505.65 and 40,915.10 is: 61,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.80 : 117,505.65 = 40,915.10 : x
  2. Step 2: Convert to fraction form
    78,312.80/117,505.65 = 40,915.10/x
  3. Step 3: Cross multiply
    78,312.80x = 117,505.65 × 40,915.10
  4. Step 4: Simplify right side
    78,312.80x = 4,807,755,420.32
  5. Step 5: Solve for x
    x = 4,807,755,420.32/78,312.80
  6. Step 6: Final answer
    x = 61,391.69

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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.