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Finding the Fourth Proportional to 142,251.87, 213,390 and 37,070.67

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Solution

The fourth proportional to 142,251.87, 213,390 and 37,070.67 is: 55,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251.87 : 213,390 = 37,070.67 : x
  2. Step 2: Convert to fraction form
    142,251.87/213,390 = 37,070.67/x
  3. Step 3: Cross multiply
    142,251.87x = 213,390 × 37,070.67
  4. Step 4: Simplify right side
    142,251.87x = 7,910,510,271.30
  5. Step 5: Solve for x
    x = 7,910,510,271.30/142,251.87
  6. Step 6: Final answer
    x = 55,609.18

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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.