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Finding the Fourth Proportional to 100,089.78, 138,122.71 and 54,767.24

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Solution

The fourth proportional to 100,089.78, 138,122.71 and 54,767.24 is: 75,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,089.78 : 138,122.71 = 54,767.24 : x
  2. Step 2: Convert to fraction form
    100,089.78/138,122.71 = 54,767.24/x
  3. Step 3: Cross multiply
    100,089.78x = 138,122.71 × 54,767.24
  4. Step 4: Simplify right side
    100,089.78x = 7,564,599,608.02
  5. Step 5: Solve for x
    x = 7,564,599,608.02/100,089.78
  6. Step 6: Final answer
    x = 75,578.14

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1.5x scale

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.