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Finding the Fourth Proportional to 58,117.28, 87,189.72 and 31,489.88

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Solution

The fourth proportional to 58,117.28, 87,189.72 and 31,489.88 is: 47,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,117.28 : 87,189.72 = 31,489.88 : x
  2. Step 2: Convert to fraction form
    58,117.28/87,189.72 = 31,489.88/x
  3. Step 3: Cross multiply
    58,117.28x = 87,189.72 × 31,489.88
  4. Step 4: Simplify right side
    58,117.28x = 2,745,593,820.03
  5. Step 5: Solve for x
    x = 2,745,593,820.03/58,117.28
  6. Step 6: Final answer
    x = 47,242.30

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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.