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Finding the Fourth Proportional to 138,694.77, 191,396.91 and 77,441.91

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Solution

The fourth proportional to 138,694.77, 191,396.91 and 77,441.91 is: 106,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694.77 : 191,396.91 = 77,441.91 : x
  2. Step 2: Convert to fraction form
    138,694.77/191,396.91 = 77,441.91/x
  3. Step 3: Cross multiply
    138,694.77x = 191,396.91 × 77,441.91
  4. Step 4: Simplify right side
    138,694.77x = 14,822,142,278.50
  5. Step 5: Solve for x
    x = 14,822,142,278.50/138,694.77
  6. Step 6: Final answer
    x = 106,868.79

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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.