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Finding the Fourth Proportional to 83,463.48, 115,145.82 and 47,646.36

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Solution

The fourth proportional to 83,463.48, 115,145.82 and 47,646.36 is: 65,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463.48 : 115,145.82 = 47,646.36 : x
  2. Step 2: Convert to fraction form
    83,463.48/115,145.82 = 47,646.36/x
  3. Step 3: Cross multiply
    83,463.48x = 115,145.82 × 47,646.36
  4. Step 4: Simplify right side
    83,463.48x = 5,486,279,192.22
  5. Step 5: Solve for x
    x = 5,486,279,192.22/83,463.48
  6. Step 6: Final answer
    x = 65,732.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.