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Finding the Fourth Proportional to 138,769.76, 191,498.42 and 77,514.32

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Solution

The fourth proportional to 138,769.76, 191,498.42 and 77,514.32 is: 106,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.76 : 191,498.42 = 77,514.32 : x
  2. Step 2: Convert to fraction form
    138,769.76/191,498.42 = 77,514.32/x
  3. Step 3: Cross multiply
    138,769.76x = 191,498.42 × 77,514.32
  4. Step 4: Simplify right side
    138,769.76x = 14,843,868,462.31
  5. Step 5: Solve for x
    x = 14,843,868,462.31/138,769.76
  6. Step 6: Final answer
    x = 106,967.61

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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.