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Finding the Fourth Proportional to 83,447.78, 115,160.80 and 45,722.02

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Solution

The fourth proportional to 83,447.78, 115,160.80 and 45,722.02 is: 63,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.78 : 115,160.80 = 45,722.02 : x
  2. Step 2: Convert to fraction form
    83,447.78/115,160.80 = 45,722.02/x
  3. Step 3: Cross multiply
    83,447.78x = 115,160.80 × 45,722.02
  4. Step 4: Simplify right side
    83,447.78x = 5,265,384,400.82
  5. Step 5: Solve for x
    x = 5,265,384,400.82/83,447.78
  6. Step 6: Final answer
    x = 63,097.96

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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.