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Finding the Fourth Proportional to 138,574.56, 191,219.49 and 78,154.65

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Solution

The fourth proportional to 138,574.56, 191,219.49 and 78,154.65 is: 107,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.56 : 191,219.49 = 78,154.65 : x
  2. Step 2: Convert to fraction form
    138,574.56/191,219.49 = 78,154.65/x
  3. Step 3: Cross multiply
    138,574.56x = 191,219.49 × 78,154.65
  4. Step 4: Simplify right side
    138,574.56x = 14,944,692,314.13
  5. Step 5: Solve for x
    x = 14,944,692,314.13/138,574.56
  6. Step 6: Final answer
    x = 107,845.86

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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.