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Finding the Fourth Proportional to 83,378.30, 115,060.91 and 45,652.55

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Solution

The fourth proportional to 83,378.30, 115,060.91 and 45,652.55 is: 62,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.30 : 115,060.91 = 45,652.55 : x
  2. Step 2: Convert to fraction form
    83,378.30/115,060.91 = 45,652.55/x
  3. Step 3: Cross multiply
    83,378.30x = 115,060.91 × 45,652.55
  4. Step 4: Simplify right side
    83,378.30x = 5,252,823,143.25
  5. Step 5: Solve for x
    x = 5,252,823,143.25/83,378.30
  6. Step 6: Final answer
    x = 62,999.89

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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.