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Finding the Fourth Proportional to 78,329.80, 117,531.15 and 40,932.10

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Solution

The fourth proportional to 78,329.80, 117,531.15 and 40,932.10 is: 61,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,329.80 : 117,531.15 = 40,932.10 : x
  2. Step 2: Convert to fraction form
    78,329.80/117,531.15 = 40,932.10/x
  3. Step 3: Cross multiply
    78,329.80x = 117,531.15 × 40,932.10
  4. Step 4: Simplify right side
    78,329.80x = 4,810,796,784.92
  5. Step 5: Solve for x
    x = 4,810,796,784.92/78,329.80
  6. Step 6: Final answer
    x = 61,417.20

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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.