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Finding the Fourth Proportional to 138,305.96, 190,860.40 and 77,882.56

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Solution

The fourth proportional to 138,305.96, 190,860.40 and 77,882.56 is: 107,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,305.96 : 190,860.40 = 77,882.56 : x
  2. Step 2: Convert to fraction form
    138,305.96/190,860.40 = 77,882.56/x
  3. Step 3: Cross multiply
    138,305.96x = 190,860.40 × 77,882.56
  4. Step 4: Simplify right side
    138,305.96x = 14,864,697,248.42
  5. Step 5: Solve for x
    x = 14,864,697,248.42/138,305.96
  6. Step 6: Final answer
    x = 107,476.91

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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.