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Finding the Fourth Proportional to 100,125, 138,172.91 and 55,413

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Solution

The fourth proportional to 100,125, 138,172.91 and 55,413 is: 76,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,125 : 138,172.91 = 55,413 : x
  2. Step 2: Convert to fraction form
    100,125/138,172.91 = 55,413/x
  3. Step 3: Cross multiply
    100,125x = 138,172.91 × 55,413
  4. Step 4: Simplify right side
    100,125x = 7,656,575,184.77
  5. Step 5: Solve for x
    x = 7,656,575,184.77/100,125
  6. Step 6: Final answer
    x = 76,470.16

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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.