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Finding the Fourth Proportional to 142,720.70, 213,821.85 and 87,251.90

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Solution

The fourth proportional to 142,720.70, 213,821.85 and 87,251.90 is: 130,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720.70 : 213,821.85 = 87,251.90 : x
  2. Step 2: Convert to fraction form
    142,720.70/213,821.85 = 87,251.90/x
  3. Step 3: Cross multiply
    142,720.70x = 213,821.85 × 87,251.90
  4. Step 4: Simplify right side
    142,720.70x = 18,656,362,674.02
  5. Step 5: Solve for x
    x = 18,656,362,674.02/142,720.70
  6. Step 6: Final answer
    x = 130,719.39

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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.