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Finding the Fourth Proportional to 142,714.70, 213,812.85 and 87,245.90

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Solution

The fourth proportional to 142,714.70, 213,812.85 and 87,245.90 is: 130,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,714.70 : 213,812.85 = 87,245.90 : x
  2. Step 2: Convert to fraction form
    142,714.70/213,812.85 = 87,245.90/x
  3. Step 3: Cross multiply
    142,714.70x = 213,812.85 × 87,245.90
  4. Step 4: Simplify right side
    142,714.70x = 18,654,294,529.82
  5. Step 5: Solve for x
    x = 18,654,294,529.82/142,714.70
  6. Step 6: Final answer
    x = 130,710.39

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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.