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Finding the Fourth Proportional to 169,470.78, 254,212.78 and 51,142.14

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Solution

The fourth proportional to 169,470.78, 254,212.78 and 51,142.14 is: 76,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,470.78 : 254,212.78 = 51,142.14 : x
  2. Step 2: Convert to fraction form
    169,470.78/254,212.78 = 51,142.14/x
  3. Step 3: Cross multiply
    169,470.78x = 254,212.78 × 51,142.14
  4. Step 4: Simplify right side
    169,470.78x = 13,000,985,584.55
  5. Step 5: Solve for x
    x = 13,000,985,584.55/169,470.78
  6. Step 6: Final answer
    x = 76,715.20

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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.