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Finding the Fourth Proportional to 145,770.30, 218,752.65 and 66,843.90

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Solution

The fourth proportional to 145,770.30, 218,752.65 and 66,843.90 is: 100,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,770.30 : 218,752.65 = 66,843.90 : x
  2. Step 2: Convert to fraction form
    145,770.30/218,752.65 = 66,843.90/x
  3. Step 3: Cross multiply
    145,770.30x = 218,752.65 × 66,843.90
  4. Step 4: Simplify right side
    145,770.30x = 14,622,280,261.34
  5. Step 5: Solve for x
    x = 14,622,280,261.34/145,770.30
  6. Step 6: Final answer
    x = 100,310.42

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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.