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Finding the Fourth Proportional to 120,654.49, 166,507.64 and 72,898.61

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Solution

The fourth proportional to 120,654.49, 166,507.64 and 72,898.61 is: 100,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,654.49 : 166,507.64 = 72,898.61 : x
  2. Step 2: Convert to fraction form
    120,654.49/166,507.64 = 72,898.61/x
  3. Step 3: Cross multiply
    120,654.49x = 166,507.64 × 72,898.61
  4. Step 4: Simplify right side
    120,654.49x = 12,138,176,108.90
  5. Step 5: Solve for x
    x = 12,138,176,108.90/120,654.49
  6. Step 6: Final answer
    x = 100,602.77

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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.