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Finding the Fourth Proportional to 123,415.80, 170,314.47 and 66,827.13

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Solution

The fourth proportional to 123,415.80, 170,314.47 and 66,827.13 is: 92,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.80 : 170,314.47 = 66,827.13 : x
  2. Step 2: Convert to fraction form
    123,415.80/170,314.47 = 66,827.13/x
  3. Step 3: Cross multiply
    123,415.80x = 170,314.47 × 66,827.13
  4. Step 4: Simplify right side
    123,415.80x = 11,381,627,227.57
  5. Step 5: Solve for x
    x = 11,381,627,227.57/123,415.80
  6. Step 6: Final answer
    x = 92,221.80

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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.