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Finding the Fourth Proportional to 77,878.26, 107,479.51 and 49,582.13

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Solution

The fourth proportional to 77,878.26, 107,479.51 and 49,582.13 is: 68,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878.26 : 107,479.51 = 49,582.13 : x
  2. Step 2: Convert to fraction form
    77,878.26/107,479.51 = 49,582.13/x
  3. Step 3: Cross multiply
    77,878.26x = 107,479.51 × 49,582.13
  4. Step 4: Simplify right side
    77,878.26x = 5,329,062,375.80
  5. Step 5: Solve for x
    x = 5,329,062,375.80/77,878.26
  6. Step 6: Final answer
    x = 68,428.11

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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.