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Finding the Fourth Proportional to 142,719.70, 213,820.35 and 87,250.90

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Solution

The fourth proportional to 142,719.70, 213,820.35 and 87,250.90 is: 130,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,719.70 : 213,820.35 = 87,250.90 : x
  2. Step 2: Convert to fraction form
    142,719.70/213,820.35 = 87,250.90/x
  3. Step 3: Cross multiply
    142,719.70x = 213,820.35 × 87,250.90
  4. Step 4: Simplify right side
    142,719.70x = 18,656,017,975.82
  5. Step 5: Solve for x
    x = 18,656,017,975.82/142,719.70
  6. Step 6: Final answer
    x = 130,717.89

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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.