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Finding the Fourth Proportional to 77,156.70, 115,710.09 and 24,553.86

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Solution

The fourth proportional to 77,156.70, 115,710.09 and 24,553.86 is: 36,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,156.70 : 115,710.09 = 24,553.86 : x
  2. Step 2: Convert to fraction form
    77,156.70/115,710.09 = 24,553.86/x
  3. Step 3: Cross multiply
    77,156.70x = 115,710.09 × 24,553.86
  4. Step 4: Simplify right side
    77,156.70x = 2,841,129,350.45
  5. Step 5: Solve for x
    x = 2,841,129,350.45/77,156.70
  6. Step 6: Final answer
    x = 36,822.85

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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.