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Finding the Fourth Proportional to 135,157.82, 186,514.65 and 77,798.27

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Solution

The fourth proportional to 135,157.82, 186,514.65 and 77,798.27 is: 107,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,157.82 : 186,514.65 = 77,798.27 : x
  2. Step 2: Convert to fraction form
    135,157.82/186,514.65 = 77,798.27/x
  3. Step 3: Cross multiply
    135,157.82x = 186,514.65 × 77,798.27
  4. Step 4: Simplify right side
    135,157.82x = 14,510,517,565.94
  5. Step 5: Solve for x
    x = 14,510,517,565.94/135,157.82
  6. Step 6: Final answer
    x = 107,359.81

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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.