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Finding the Fourth Proportional to 83,438.66, 115,255.77 and 62,181.02

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Solution

The fourth proportional to 83,438.66, 115,255.77 and 62,181.02 is: 85,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438.66 : 115,255.77 = 62,181.02 : x
  2. Step 2: Convert to fraction form
    83,438.66/115,255.77 = 62,181.02/x
  3. Step 3: Cross multiply
    83,438.66x = 115,255.77 × 62,181.02
  4. Step 4: Simplify right side
    83,438.66x = 7,166,721,339.49
  5. Step 5: Solve for x
    x = 7,166,721,339.49/83,438.66
  6. Step 6: Final answer
    x = 85,892.10

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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.