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Finding the Fourth Proportional to 139,842.80, 209,766.36 and 40,001.12

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Solution

The fourth proportional to 139,842.80, 209,766.36 and 40,001.12 is: 60,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842.80 : 209,766.36 = 40,001.12 : x
  2. Step 2: Convert to fraction form
    139,842.80/209,766.36 = 40,001.12/x
  3. Step 3: Cross multiply
    139,842.80x = 209,766.36 × 40,001.12
  4. Step 4: Simplify right side
    139,842.80x = 8,390,889,338.32
  5. Step 5: Solve for x
    x = 8,390,889,338.32/139,842.80
  6. Step 6: Final answer
    x = 60,002.30

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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.