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Finding the Fourth Proportional to 101,511.86, 152,182.14 and 63,989.20

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Solution

The fourth proportional to 101,511.86, 152,182.14 and 63,989.20 is: 95,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511.86 : 152,182.14 = 63,989.20 : x
  2. Step 2: Convert to fraction form
    101,511.86/152,182.14 = 63,989.20/x
  3. Step 3: Cross multiply
    101,511.86x = 152,182.14 × 63,989.20
  4. Step 4: Simplify right side
    101,511.86x = 9,738,013,392.89
  5. Step 5: Solve for x
    x = 9,738,013,392.89/101,511.86
  6. Step 6: Final answer
    x = 95,929.81

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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.