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Finding the Fourth Proportional to 138,822.18, 191,578.53 and 78,401.91

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Solution

The fourth proportional to 138,822.18, 191,578.53 and 78,401.91 is: 108,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,822.18 : 191,578.53 = 78,401.91 : x
  2. Step 2: Convert to fraction form
    138,822.18/191,578.53 = 78,401.91/x
  3. Step 3: Cross multiply
    138,822.18x = 191,578.53 × 78,401.91
  4. Step 4: Simplify right side
    138,822.18x = 15,020,122,666.99
  5. Step 5: Solve for x
    x = 15,020,122,666.99/138,822.18
  6. Step 6: Final answer
    x = 108,196.85

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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.