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Finding the Fourth Proportional to 77,702.10, 116,336.13 and 42,035.88

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Solution

The fourth proportional to 77,702.10, 116,336.13 and 42,035.88 is: 62,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702.10 : 116,336.13 = 42,035.88 : x
  2. Step 2: Convert to fraction form
    77,702.10/116,336.13 = 42,035.88/x
  3. Step 3: Cross multiply
    77,702.10x = 116,336.13 × 42,035.88
  4. Step 4: Simplify right side
    77,702.10x = 4,890,291,600.34
  5. Step 5: Solve for x
    x = 4,890,291,600.34/77,702.10
  6. Step 6: Final answer
    x = 62,936.41

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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.