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Finding the Fourth Proportional to 100,678.98, 138,732.12 and 77,879.46

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Solution

The fourth proportional to 100,678.98, 138,732.12 and 77,879.46 is: 107,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.98 : 138,732.12 = 77,879.46 : x
  2. Step 2: Convert to fraction form
    100,678.98/138,732.12 = 77,879.46/x
  3. Step 3: Cross multiply
    100,678.98x = 138,732.12 × 77,879.46
  4. Step 4: Simplify right side
    100,678.98x = 10,804,382,590.26
  5. Step 5: Solve for x
    x = 10,804,382,590.26/100,678.98
  6. Step 6: Final answer
    x = 107,315.18

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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.