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Finding the Fourth Proportional to 87,220.40, 130,830.60 and 75,815.60

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Solution

The fourth proportional to 87,220.40, 130,830.60 and 75,815.60 is: 113,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,220.40 : 130,830.60 = 75,815.60 : x
  2. Step 2: Convert to fraction form
    87,220.40/130,830.60 = 75,815.60/x
  3. Step 3: Cross multiply
    87,220.40x = 130,830.60 × 75,815.60
  4. Step 4: Simplify right side
    87,220.40x = 9,919,000,437.36
  5. Step 5: Solve for x
    x = 9,919,000,437.36/87,220.40
  6. Step 6: Final answer
    x = 113,723.40

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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.