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Finding the Fourth Proportional to 142,046.46, 212,970.87 and 71,877.78

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Solution

The fourth proportional to 142,046.46, 212,970.87 and 71,877.78 is: 107,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,046.46 : 212,970.87 = 71,877.78 : x
  2. Step 2: Convert to fraction form
    142,046.46/212,970.87 = 71,877.78/x
  3. Step 3: Cross multiply
    142,046.46x = 212,970.87 × 71,877.78
  4. Step 4: Simplify right side
    142,046.46x = 15,307,873,340.27
  5. Step 5: Solve for x
    x = 15,307,873,340.27/142,046.46
  6. Step 6: Final answer
    x = 107,766.67

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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.