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Finding the Fourth Proportional to 142,612.62, 213,902.40 and 37,439.82

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Solution

The fourth proportional to 142,612.62, 213,902.40 and 37,439.82 is: 56,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612.62 : 213,902.40 = 37,439.82 : x
  2. Step 2: Convert to fraction form
    142,612.62/213,902.40 = 37,439.82/x
  3. Step 3: Cross multiply
    142,612.62x = 213,902.40 × 37,439.82
  4. Step 4: Simplify right side
    142,612.62x = 8,008,467,353.57
  5. Step 5: Solve for x
    x = 8,008,467,353.57/142,612.62
  6. Step 6: Final answer
    x = 56,155.39

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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.