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Finding the Fourth Proportional to 102,776.78, 141,854.82 and 62,482

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Solution

The fourth proportional to 102,776.78, 141,854.82 and 62,482 is: 86,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.78 : 141,854.82 = 62,482 : x
  2. Step 2: Convert to fraction form
    102,776.78/141,854.82 = 62,482/x
  3. Step 3: Cross multiply
    102,776.78x = 141,854.82 × 62,482
  4. Step 4: Simplify right side
    102,776.78x = 8,863,372,863.24
  5. Step 5: Solve for x
    x = 8,863,372,863.24/102,776.78
  6. Step 6: Final answer
    x = 86,239.06

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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.