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Finding the Fourth Proportional to 76,702.92, 115,007.40 and 29,901.12

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Solution

The fourth proportional to 76,702.92, 115,007.40 and 29,901.12 is: 44,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.92 : 115,007.40 = 29,901.12 : x
  2. Step 2: Convert to fraction form
    76,702.92/115,007.40 = 29,901.12/x
  3. Step 3: Cross multiply
    76,702.92x = 115,007.40 × 29,901.12
  4. Step 4: Simplify right side
    76,702.92x = 3,438,850,068.29
  5. Step 5: Solve for x
    x = 3,438,850,068.29/76,702.92
  6. Step 6: Final answer
    x = 44,833.37

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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.