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Finding the Fourth Proportional to 138,751.52, 191,514.09 and 78,357.51

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Solution

The fourth proportional to 138,751.52, 191,514.09 and 78,357.51 is: 108,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.52 : 191,514.09 = 78,357.51 : x
  2. Step 2: Convert to fraction form
    138,751.52/191,514.09 = 78,357.51/x
  3. Step 3: Cross multiply
    138,751.52x = 191,514.09 × 78,357.51
  4. Step 4: Simplify right side
    138,751.52x = 15,006,567,516.16
  5. Step 5: Solve for x
    x = 15,006,567,516.16/138,751.52
  6. Step 6: Final answer
    x = 108,154.26

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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.