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Finding the Fourth Proportional to 83,411.55, 115,108.01 and 45,171.40

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Solution

The fourth proportional to 83,411.55, 115,108.01 and 45,171.40 is: 62,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,411.55 : 115,108.01 = 45,171.40 : x
  2. Step 2: Convert to fraction form
    83,411.55/115,108.01 = 45,171.40/x
  3. Step 3: Cross multiply
    83,411.55x = 115,108.01 × 45,171.40
  4. Step 4: Simplify right side
    83,411.55x = 5,199,589,962.91
  5. Step 5: Solve for x
    x = 5,199,589,962.91/83,411.55
  6. Step 6: Final answer
    x = 62,336.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.