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Finding the Fourth Proportional to 137,560.61, 189,753.04 and 86,492.42

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Solution

The fourth proportional to 137,560.61, 189,753.04 and 86,492.42 is: 119,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,560.61 : 189,753.04 = 86,492.42 : x
  2. Step 2: Convert to fraction form
    137,560.61/189,753.04 = 86,492.42/x
  3. Step 3: Cross multiply
    137,560.61x = 189,753.04 × 86,492.42
  4. Step 4: Simplify right side
    137,560.61x = 16,412,199,502.88
  5. Step 5: Solve for x
    x = 16,412,199,502.88/137,560.61
  6. Step 6: Final answer
    x = 119,308.86

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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.