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Finding the Fourth Proportional to 142,002.70, 212,744.85 and 86,533.90

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Solution

The fourth proportional to 142,002.70, 212,744.85 and 86,533.90 is: 129,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002.70 : 212,744.85 = 86,533.90 : x
  2. Step 2: Convert to fraction form
    142,002.70/212,744.85 = 86,533.90/x
  3. Step 3: Cross multiply
    142,002.70x = 212,744.85 × 86,533.90
  4. Step 4: Simplify right side
    142,002.70x = 18,409,641,575.42
  5. Step 5: Solve for x
    x = 18,409,641,575.42/142,002.70
  6. Step 6: Final answer
    x = 129,642.90

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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.