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Finding the Fourth Proportional to 101,754.53, 140,429.87 and 56,447.10

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Solution

The fourth proportional to 101,754.53, 140,429.87 and 56,447.10 is: 77,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754.53 : 140,429.87 = 56,447.10 : x
  2. Step 2: Convert to fraction form
    101,754.53/140,429.87 = 56,447.10/x
  3. Step 3: Cross multiply
    101,754.53x = 140,429.87 × 56,447.10
  4. Step 4: Simplify right side
    101,754.53x = 7,926,859,370.93
  5. Step 5: Solve for x
    x = 7,926,859,370.93/101,754.53
  6. Step 6: Final answer
    x = 77,901.79

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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.