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Finding the Fourth Proportional to 67,287.30, 100,821.60 and 42,282.60

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Solution

The fourth proportional to 67,287.30, 100,821.60 and 42,282.60 is: 63,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,287.30 : 100,821.60 = 42,282.60 : x
  2. Step 2: Convert to fraction form
    67,287.30/100,821.60 = 42,282.60/x
  3. Step 3: Cross multiply
    67,287.30x = 100,821.60 × 42,282.60
  4. Step 4: Simplify right side
    67,287.30x = 4,262,999,384.16
  5. Step 5: Solve for x
    x = 4,262,999,384.16/67,287.30
  6. Step 6: Final answer
    x = 63,355.19

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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.