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Finding the Fourth Proportional to 83,447.63, 115,157.23 and 45,207.90

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Solution

The fourth proportional to 83,447.63, 115,157.23 and 45,207.90 is: 62,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.63 : 115,157.23 = 45,207.90 : x
  2. Step 2: Convert to fraction form
    83,447.63/115,157.23 = 45,207.90/x
  3. Step 3: Cross multiply
    83,447.63x = 115,157.23 × 45,207.90
  4. Step 4: Simplify right side
    83,447.63x = 5,206,016,538.12
  5. Step 5: Solve for x
    x = 5,206,016,538.12/83,447.63
  6. Step 6: Final answer
    x = 62,386.63

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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.