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Finding the Fourth Proportional to 145,319.20, 218,151.60 and 82,189.60

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Solution

The fourth proportional to 145,319.20, 218,151.60 and 82,189.60 is: 123,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,319.20 : 218,151.60 = 82,189.60 : x
  2. Step 2: Convert to fraction form
    145,319.20/218,151.60 = 82,189.60/x
  3. Step 3: Cross multiply
    145,319.20x = 218,151.60 × 82,189.60
  4. Step 4: Simplify right side
    145,319.20x = 17,929,792,743.36
  5. Step 5: Solve for x
    x = 17,929,792,743.36/145,319.20
  6. Step 6: Final answer
    x = 123,382.13

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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.