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Finding the Fourth Proportional to 218,681.20, 328,167.60 and 100,291.60

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Solution

The fourth proportional to 218,681.20, 328,167.60 and 100,291.60 is: 150,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,681.20 : 328,167.60 = 100,291.60 : x
  2. Step 2: Convert to fraction form
    218,681.20/328,167.60 = 100,291.60/x
  3. Step 3: Cross multiply
    218,681.20x = 328,167.60 × 100,291.60
  4. Step 4: Simplify right side
    218,681.20x = 32,912,453,672.16
  5. Step 5: Solve for x
    x = 32,912,453,672.16/218,681.20
  6. Step 6: Final answer
    x = 150,504.27

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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.