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Finding the Fourth Proportional to 154,229.59, 212,774.20 and 100,495

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Solution

The fourth proportional to 154,229.59, 212,774.20 and 100,495 is: 138,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,229.59 : 212,774.20 = 100,495 : x
  2. Step 2: Convert to fraction form
    154,229.59/212,774.20 = 100,495/x
  3. Step 3: Cross multiply
    154,229.59x = 212,774.20 × 100,495
  4. Step 4: Simplify right side
    154,229.59x = 21,382,743,229
  5. Step 5: Solve for x
    x = 21,382,743,229/154,229.59
  6. Step 6: Final answer
    x = 138,642.29

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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.