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Finding the Fourth Proportional to 135,042.44, 186,320.67 and 77,678.78

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Solution

The fourth proportional to 135,042.44, 186,320.67 and 77,678.78 is: 107,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,042.44 : 186,320.67 = 77,678.78 : x
  2. Step 2: Convert to fraction form
    135,042.44/186,320.67 = 77,678.78/x
  3. Step 3: Cross multiply
    135,042.44x = 186,320.67 × 77,678.78
  4. Step 4: Simplify right side
    135,042.44x = 14,473,162,334.38
  5. Step 5: Solve for x
    x = 14,473,162,334.38/135,042.44
  6. Step 6: Final answer
    x = 107,174.92

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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.