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Finding the Fourth Proportional to 100,226, 138,312.16 and 55,514

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Solution

The fourth proportional to 100,226, 138,312.16 and 55,514 is: 76,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226 : 138,312.16 = 55,514 : x
  2. Step 2: Convert to fraction form
    100,226/138,312.16 = 55,514/x
  3. Step 3: Cross multiply
    100,226x = 138,312.16 × 55,514
  4. Step 4: Simplify right side
    100,226x = 7,678,261,250.24
  5. Step 5: Solve for x
    x = 7,678,261,250.24/100,226
  6. Step 6: Final answer
    x = 76,609.48

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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.