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Finding the Fourth Proportional to 145,356.80, 218,028.98 and 45,514.78

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Solution

The fourth proportional to 145,356.80, 218,028.98 and 45,514.78 is: 68,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356.80 : 218,028.98 = 45,514.78 : x
  2. Step 2: Convert to fraction form
    145,356.80/218,028.98 = 45,514.78/x
  3. Step 3: Cross multiply
    145,356.80x = 218,028.98 × 45,514.78
  4. Step 4: Simplify right side
    145,356.80x = 9,923,540,627.04
  5. Step 5: Solve for x
    x = 9,923,540,627.04/145,356.80
  6. Step 6: Final answer
    x = 68,270.22

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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.