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Finding the Fourth Proportional to 138,574.62, 191,235.76 and 78,133.57

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Solution

The fourth proportional to 138,574.62, 191,235.76 and 78,133.57 is: 107,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.62 : 191,235.76 = 78,133.57 : x
  2. Step 2: Convert to fraction form
    138,574.62/191,235.76 = 78,133.57/x
  3. Step 3: Cross multiply
    138,574.62x = 191,235.76 × 78,133.57
  4. Step 4: Simplify right side
    138,574.62x = 14,941,933,531.42
  5. Step 5: Solve for x
    x = 14,941,933,531.42/138,574.62
  6. Step 6: Final answer
    x = 107,825.90

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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.