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Finding the Fourth Proportional to 123,415.76, 170,314.56 and 66,827.13

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Solution

The fourth proportional to 123,415.76, 170,314.56 and 66,827.13 is: 92,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.76 : 170,314.56 = 66,827.13 : x
  2. Step 2: Convert to fraction form
    123,415.76/170,314.56 = 66,827.13/x
  3. Step 3: Cross multiply
    123,415.76x = 170,314.56 × 66,827.13
  4. Step 4: Simplify right side
    123,415.76x = 11,381,633,242.01
  5. Step 5: Solve for x
    x = 11,381,633,242.01/123,415.76
  6. Step 6: Final answer
    x = 92,221.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.