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Finding the Fourth Proportional to 66,905.29, 100,326.12 and 38,833.95

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Solution

The fourth proportional to 66,905.29, 100,326.12 and 38,833.95 is: 58,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,905.29 : 100,326.12 = 38,833.95 : x
  2. Step 2: Convert to fraction form
    66,905.29/100,326.12 = 38,833.95/x
  3. Step 3: Cross multiply
    66,905.29x = 100,326.12 × 38,833.95
  4. Step 4: Simplify right side
    66,905.29x = 3,896,059,527.77
  5. Step 5: Solve for x
    x = 3,896,059,527.77/66,905.29
  6. Step 6: Final answer
    x = 58,232.46

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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.