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Finding the Fourth Proportional to 100,056, 138,081.60 and 55,344

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Solution

The fourth proportional to 100,056, 138,081.60 and 55,344 is: 76,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056 : 138,081.60 = 55,344 : x
  2. Step 2: Convert to fraction form
    100,056/138,081.60 = 55,344/x
  3. Step 3: Cross multiply
    100,056x = 138,081.60 × 55,344
  4. Step 4: Simplify right side
    100,056x = 7,641,988,070.40
  5. Step 5: Solve for x
    x = 7,641,988,070.40/100,056
  6. Step 6: Final answer
    x = 76,377.11

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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.