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Finding the Fourth Proportional to 139,031.62, 208,049.20 and 120,376.10

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Solution

The fourth proportional to 139,031.62, 208,049.20 and 120,376.10 is: 180,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,031.62 : 208,049.20 = 120,376.10 : x
  2. Step 2: Convert to fraction form
    139,031.62/208,049.20 = 120,376.10/x
  3. Step 3: Cross multiply
    139,031.62x = 208,049.20 × 120,376.10
  4. Step 4: Simplify right side
    139,031.62x = 25,044,151,304.12
  5. Step 5: Solve for x
    x = 25,044,151,304.12/139,031.62
  6. Step 6: Final answer
    x = 180,132.77

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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.