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Finding the Fourth Proportional to 66,943.20, 100,414.80 and 25,384.80

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Solution

The fourth proportional to 66,943.20, 100,414.80 and 25,384.80 is: 38,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943.20 : 100,414.80 = 25,384.80 : x
  2. Step 2: Convert to fraction form
    66,943.20/100,414.80 = 25,384.80/x
  3. Step 3: Cross multiply
    66,943.20x = 100,414.80 × 25,384.80
  4. Step 4: Simplify right side
    66,943.20x = 2,549,009,615.04
  5. Step 5: Solve for x
    x = 2,549,009,615.04/66,943.20
  6. Step 6: Final answer
    x = 38,077.20

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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.