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Finding the Fourth Proportional to 101,663.92, 140,292.18 and 56,343.82

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Solution

The fourth proportional to 101,663.92, 140,292.18 and 56,343.82 is: 77,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,663.92 : 140,292.18 = 56,343.82 : x
  2. Step 2: Convert to fraction form
    101,663.92/140,292.18 = 56,343.82/x
  3. Step 3: Cross multiply
    101,663.92x = 140,292.18 × 56,343.82
  4. Step 4: Simplify right side
    101,663.92x = 7,904,597,337.33
  5. Step 5: Solve for x
    x = 7,904,597,337.33/101,663.92
  6. Step 6: Final answer
    x = 77,752.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.