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Finding the Fourth Proportional to 139,882.31, 209,823.47 and 40,042.86

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Solution

The fourth proportional to 139,882.31, 209,823.47 and 40,042.86 is: 60,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,882.31 : 209,823.47 = 40,042.86 : x
  2. Step 2: Convert to fraction form
    139,882.31/209,823.47 = 40,042.86/x
  3. Step 3: Cross multiply
    139,882.31x = 209,823.47 × 40,042.86
  4. Step 4: Simplify right side
    139,882.31x = 8,401,931,934.03
  5. Step 5: Solve for x
    x = 8,401,931,934.03/139,882.31
  6. Step 6: Final answer
    x = 60,064.29

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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.