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Finding the Fourth Proportional to 78,578.48, 108,476.74 and 52,727.78

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Solution

The fourth proportional to 78,578.48, 108,476.74 and 52,727.78 is: 72,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.48 : 108,476.74 = 52,727.78 : x
  2. Step 2: Convert to fraction form
    78,578.48/108,476.74 = 52,727.78/x
  3. Step 3: Cross multiply
    78,578.48x = 108,476.74 × 52,727.78
  4. Step 4: Simplify right side
    78,578.48x = 5,719,737,408.76
  5. Step 5: Solve for x
    x = 5,719,737,408.76/78,578.48
  6. Step 6: Final answer
    x = 72,790.13

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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.