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Finding the Fourth Proportional to 129,398.67, 178,578.29 and 78,415.85

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Solution

The fourth proportional to 129,398.67, 178,578.29 and 78,415.85 is: 108,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,398.67 : 178,578.29 = 78,415.85 : x
  2. Step 2: Convert to fraction form
    129,398.67/178,578.29 = 78,415.85/x
  3. Step 3: Cross multiply
    129,398.67x = 178,578.29 × 78,415.85
  4. Step 4: Simplify right side
    129,398.67x = 14,003,369,044.38
  5. Step 5: Solve for x
    x = 14,003,369,044.38/129,398.67
  6. Step 6: Final answer
    x = 108,218.80

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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.