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Finding the Fourth Proportional to 133,071.40, 199,031.10 and 119,132.20

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Solution

The fourth proportional to 133,071.40, 199,031.10 and 119,132.20 is: 178,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.40 : 199,031.10 = 119,132.20 : x
  2. Step 2: Convert to fraction form
    133,071.40/199,031.10 = 119,132.20/x
  3. Step 3: Cross multiply
    133,071.40x = 199,031.10 × 119,132.20
  4. Step 4: Simplify right side
    133,071.40x = 23,711,012,811.42
  5. Step 5: Solve for x
    x = 23,711,012,811.42/133,071.40
  6. Step 6: Final answer
    x = 178,182.64

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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.