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Finding the Fourth Proportional to 83,447.88, 115,156.50 and 45,721.86

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Solution

The fourth proportional to 83,447.88, 115,156.50 and 45,721.86 is: 63,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.88 : 115,156.50 = 45,721.86 : x
  2. Step 2: Convert to fraction form
    83,447.88/115,156.50 = 45,721.86/x
  3. Step 3: Cross multiply
    83,447.88x = 115,156.50 × 45,721.86
  4. Step 4: Simplify right side
    83,447.88x = 5,265,169,371.09
  5. Step 5: Solve for x
    x = 5,265,169,371.09/83,447.88
  6. Step 6: Final answer
    x = 63,095.30

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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.