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Finding the Fourth Proportional to 83,703.56, 115,511.75 and 45,463.47

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Solution

The fourth proportional to 83,703.56, 115,511.75 and 45,463.47 is: 62,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,703.56 : 115,511.75 = 45,463.47 : x
  2. Step 2: Convert to fraction form
    83,703.56/115,511.75 = 45,463.47/x
  3. Step 3: Cross multiply
    83,703.56x = 115,511.75 × 45,463.47
  4. Step 4: Simplify right side
    83,703.56x = 5,251,565,396.26
  5. Step 5: Solve for x
    x = 5,251,565,396.26/83,703.56
  6. Step 6: Final answer
    x = 62,740.05

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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.