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Finding the Fourth Proportional to 101,757.25, 140,429.69 and 56,432.53

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Solution

The fourth proportional to 101,757.25, 140,429.69 and 56,432.53 is: 77,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757.25 : 140,429.69 = 56,432.53 : x
  2. Step 2: Convert to fraction form
    101,757.25/140,429.69 = 56,432.53/x
  3. Step 3: Cross multiply
    101,757.25x = 140,429.69 × 56,432.53
  4. Step 4: Simplify right side
    101,757.25x = 7,924,803,313.72
  5. Step 5: Solve for x
    x = 7,924,803,313.72/101,757.25
  6. Step 6: Final answer
    x = 77,879.49

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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.