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Finding the Fourth Proportional to 83,567.88, 125,349.76 and 20,388.44

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Solution

The fourth proportional to 83,567.88, 125,349.76 and 20,388.44 is: 30,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,567.88 : 125,349.76 = 20,388.44 : x
  2. Step 2: Convert to fraction form
    83,567.88/125,349.76 = 20,388.44/x
  3. Step 3: Cross multiply
    83,567.88x = 125,349.76 × 20,388.44
  4. Step 4: Simplify right side
    83,567.88x = 2,555,686,060.77
  5. Step 5: Solve for x
    x = 2,555,686,060.77/83,567.88
  6. Step 6: Final answer
    x = 30,582.16

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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.