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Finding the Fourth Proportional to 137,539.86, 189,805.49 and 86,586.30

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Solution

The fourth proportional to 137,539.86, 189,805.49 and 86,586.30 is: 119,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,539.86 : 189,805.49 = 86,586.30 : x
  2. Step 2: Convert to fraction form
    137,539.86/189,805.49 = 86,586.30/x
  3. Step 3: Cross multiply
    137,539.86x = 189,805.49 × 86,586.30
  4. Step 4: Simplify right side
    137,539.86x = 16,434,555,098.79
  5. Step 5: Solve for x
    x = 16,434,555,098.79/137,539.86
  6. Step 6: Final answer
    x = 119,489.40

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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.