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Finding the Fourth Proportional to 83,445.23, 125,167.82 and 55,420

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Solution

The fourth proportional to 83,445.23, 125,167.82 and 55,420 is: 83,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,445.23 : 125,167.82 = 55,420 : x
  2. Step 2: Convert to fraction form
    83,445.23/125,167.82 = 55,420/x
  3. Step 3: Cross multiply
    83,445.23x = 125,167.82 × 55,420
  4. Step 4: Simplify right side
    83,445.23x = 6,936,800,584.40
  5. Step 5: Solve for x
    x = 6,936,800,584.40/83,445.23
  6. Step 6: Final answer
    x = 83,129.98

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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.