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Finding the Fourth Proportional to 200,031.60, 299,701.80 and 129,874.80

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Solution

The fourth proportional to 200,031.60, 299,701.80 and 129,874.80 is: 194,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031.60 : 299,701.80 = 129,874.80 : x
  2. Step 2: Convert to fraction form
    200,031.60/299,701.80 = 129,874.80/x
  3. Step 3: Cross multiply
    200,031.60x = 299,701.80 × 129,874.80
  4. Step 4: Simplify right side
    200,031.60x = 38,923,711,334.64
  5. Step 5: Solve for x
    x = 38,923,711,334.64/200,031.60
  6. Step 6: Final answer
    x = 194,587.81

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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.