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Finding the Fourth Proportional to 101,432.86, 152,163.13 and 42,254.69

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Solution

The fourth proportional to 101,432.86, 152,163.13 and 42,254.69 is: 63,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.86 : 152,163.13 = 42,254.69 : x
  2. Step 2: Convert to fraction form
    101,432.86/152,163.13 = 42,254.69/x
  3. Step 3: Cross multiply
    101,432.86x = 152,163.13 × 42,254.69
  4. Step 4: Simplify right side
    101,432.86x = 6,429,605,887.58
  5. Step 5: Solve for x
    x = 6,429,605,887.58/101,432.86
  6. Step 6: Final answer
    x = 63,387.80

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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.