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Finding the Fourth Proportional to 137,402.64, 205,861.92 and 120,345.36

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Solution

The fourth proportional to 137,402.64, 205,861.92 and 120,345.36 is: 180,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,402.64 : 205,861.92 = 120,345.36 : x
  2. Step 2: Convert to fraction form
    137,402.64/205,861.92 = 120,345.36/x
  3. Step 3: Cross multiply
    137,402.64x = 205,861.92 × 120,345.36
  4. Step 4: Simplify right side
    137,402.64x = 24,774,526,872.69
  5. Step 5: Solve for x
    x = 24,774,526,872.69/137,402.64
  6. Step 6: Final answer
    x = 180,306.05

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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.