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Finding the Fourth Proportional to 144,920.10, 217,278.90 and 85,725.30

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Solution

The fourth proportional to 144,920.10, 217,278.90 and 85,725.30 is: 128,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920.10 : 217,278.90 = 85,725.30 : x
  2. Step 2: Convert to fraction form
    144,920.10/217,278.90 = 85,725.30/x
  3. Step 3: Cross multiply
    144,920.10x = 217,278.90 × 85,725.30
  4. Step 4: Simplify right side
    144,920.10x = 18,626,298,886.17
  5. Step 5: Solve for x
    x = 18,626,298,886.17/144,920.10
  6. Step 6: Final answer
    x = 128,528.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.