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Finding the Fourth Proportional to 144,689.40, 217,034.10 and 51,204.60

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Solution

The fourth proportional to 144,689.40, 217,034.10 and 51,204.60 is: 76,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,689.40 : 217,034.10 = 51,204.60 : x
  2. Step 2: Convert to fraction form
    144,689.40/217,034.10 = 51,204.60/x
  3. Step 3: Cross multiply
    144,689.40x = 217,034.10 × 51,204.60
  4. Step 4: Simplify right side
    144,689.40x = 11,113,144,276.86
  5. Step 5: Solve for x
    x = 11,113,144,276.86/144,689.40
  6. Step 6: Final answer
    x = 76,806.90

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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.