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Finding the Fourth Proportional to 138,306.42, 190,860.30 and 77,876.82

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Solution

The fourth proportional to 138,306.42, 190,860.30 and 77,876.82 is: 107,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,306.42 : 190,860.30 = 77,876.82 : x
  2. Step 2: Convert to fraction form
    138,306.42/190,860.30 = 77,876.82/x
  3. Step 3: Cross multiply
    138,306.42x = 190,860.30 × 77,876.82
  4. Step 4: Simplify right side
    138,306.42x = 14,863,593,228.25
  5. Step 5: Solve for x
    x = 14,863,593,228.25/138,306.42
  6. Step 6: Final answer
    x = 107,468.57

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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.