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Finding the Fourth Proportional to 83,748.75, 115,573.72 and 45,508.60

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Solution

The fourth proportional to 83,748.75, 115,573.72 and 45,508.60 is: 62,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,748.75 : 115,573.72 = 45,508.60 : x
  2. Step 2: Convert to fraction form
    83,748.75/115,573.72 = 45,508.60/x
  3. Step 3: Cross multiply
    83,748.75x = 115,573.72 × 45,508.60
  4. Step 4: Simplify right side
    83,748.75x = 5,259,597,616.12
  5. Step 5: Solve for x
    x = 5,259,597,616.12/83,748.75
  6. Step 6: Final answer
    x = 62,802.11

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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.