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Finding the Fourth Proportional to 120,765.08, 166,603.92 and 72,990.68

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Solution

The fourth proportional to 120,765.08, 166,603.92 and 72,990.68 is: 100,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765.08 : 166,603.92 = 72,990.68 : x
  2. Step 2: Convert to fraction form
    120,765.08/166,603.92 = 72,990.68/x
  3. Step 3: Cross multiply
    120,765.08x = 166,603.92 × 72,990.68
  4. Step 4: Simplify right side
    120,765.08x = 12,160,533,411.47
  5. Step 5: Solve for x
    x = 12,160,533,411.47/120,765.08
  6. Step 6: Final answer
    x = 100,695.78

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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.