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Finding the Fourth Proportional to 58,689.40, 87,839.70 and 54,023.80

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Solution

The fourth proportional to 58,689.40, 87,839.70 and 54,023.80 is: 80,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,689.40 : 87,839.70 = 54,023.80 : x
  2. Step 2: Convert to fraction form
    58,689.40/87,839.70 = 54,023.80/x
  3. Step 3: Cross multiply
    58,689.40x = 87,839.70 × 54,023.80
  4. Step 4: Simplify right side
    58,689.40x = 4,745,434,384.86
  5. Step 5: Solve for x
    x = 4,745,434,384.86/58,689.40
  6. Step 6: Final answer
    x = 80,856.75

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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.