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Finding the Fourth Proportional to 200,021.60, 299,686.80 and 129,864.80

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Solution

The fourth proportional to 200,021.60, 299,686.80 and 129,864.80 is: 194,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,021.60 : 299,686.80 = 129,864.80 : x
  2. Step 2: Convert to fraction form
    200,021.60/299,686.80 = 129,864.80/x
  3. Step 3: Cross multiply
    200,021.60x = 299,686.80 × 129,864.80
  4. Step 4: Simplify right side
    200,021.60x = 38,918,766,344.64
  5. Step 5: Solve for x
    x = 38,918,766,344.64/200,021.60
  6. Step 6: Final answer
    x = 194,572.82

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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.