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Finding the Fourth Proportional to 78,356, 108,131.28 and 44,822

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Solution

The fourth proportional to 78,356, 108,131.28 and 44,822 is: 61,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356 : 108,131.28 = 44,822 : x
  2. Step 2: Convert to fraction form
    78,356/108,131.28 = 44,822/x
  3. Step 3: Cross multiply
    78,356x = 108,131.28 × 44,822
  4. Step 4: Simplify right side
    78,356x = 4,846,660,232.16
  5. Step 5: Solve for x
    x = 4,846,660,232.16/78,356
  6. Step 6: Final answer
    x = 61,854.36

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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.