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Finding the Fourth Proportional to 66,966.61, 100,465.25 and 29,022.25

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Solution

The fourth proportional to 66,966.61, 100,465.25 and 29,022.25 is: 43,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966.61 : 100,465.25 = 29,022.25 : x
  2. Step 2: Convert to fraction form
    66,966.61/100,465.25 = 29,022.25/x
  3. Step 3: Cross multiply
    66,966.61x = 100,465.25 × 29,022.25
  4. Step 4: Simplify right side
    66,966.61x = 2,915,727,374.19
  5. Step 5: Solve for x
    x = 2,915,727,374.19/66,966.61
  6. Step 6: Final answer
    x = 43,540.02

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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.