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Finding the Fourth Proportional to 283,720.40, 425,642.88 and 84,056.42

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Solution

The fourth proportional to 283,720.40, 425,642.88 and 84,056.42 is: 126,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,720.40 : 425,642.88 = 84,056.42 : x
  2. Step 2: Convert to fraction form
    283,720.40/425,642.88 = 84,056.42/x
  3. Step 3: Cross multiply
    283,720.40x = 425,642.88 × 84,056.42
  4. Step 4: Simplify right side
    283,720.40x = 35,778,016,691.29
  5. Step 5: Solve for x
    x = 35,778,016,691.29/283,720.40
  6. Step 6: Final answer
    x = 126,103.08

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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.