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Finding the Fourth Proportional to 83,547.78, 115,265.64 and 54,882.87

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Solution

The fourth proportional to 83,547.78, 115,265.64 and 54,882.87 is: 75,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.78 : 115,265.64 = 54,882.87 : x
  2. Step 2: Convert to fraction form
    83,547.78/115,265.64 = 54,882.87/x
  3. Step 3: Cross multiply
    83,547.78x = 115,265.64 × 54,882.87
  4. Step 4: Simplify right side
    83,547.78x = 6,326,109,135.59
  5. Step 5: Solve for x
    x = 6,326,109,135.59/83,547.78
  6. Step 6: Final answer
    x = 75,718.46

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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.