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Finding the Fourth Proportional to 100,521.84, 138,714.75 and 55,191

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Solution

The fourth proportional to 100,521.84, 138,714.75 and 55,191 is: 76,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.84 : 138,714.75 = 55,191 : x
  2. Step 2: Convert to fraction form
    100,521.84/138,714.75 = 55,191/x
  3. Step 3: Cross multiply
    100,521.84x = 138,714.75 × 55,191
  4. Step 4: Simplify right side
    100,521.84x = 7,655,805,767.25
  5. Step 5: Solve for x
    x = 7,655,805,767.25/100,521.84
  6. Step 6: Final answer
    x = 76,160.62

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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.