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Finding the Fourth Proportional to 87,083.20, 130,624.80 and 52,004.80

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Solution

The fourth proportional to 87,083.20, 130,624.80 and 52,004.80 is: 78,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,083.20 : 130,624.80 = 52,004.80 : x
  2. Step 2: Convert to fraction form
    87,083.20/130,624.80 = 52,004.80/x
  3. Step 3: Cross multiply
    87,083.20x = 130,624.80 × 52,004.80
  4. Step 4: Simplify right side
    87,083.20x = 6,793,116,599.04
  5. Step 5: Solve for x
    x = 6,793,116,599.04/87,083.20
  6. Step 6: Final answer
    x = 78,007.20

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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.