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Finding the Fourth Proportional to 122,667.13, 169,255.84 and 71,670

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Solution

The fourth proportional to 122,667.13, 169,255.84 and 71,670 is: 98,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,667.13 : 169,255.84 = 71,670 : x
  2. Step 2: Convert to fraction form
    122,667.13/169,255.84 = 71,670/x
  3. Step 3: Cross multiply
    122,667.13x = 169,255.84 × 71,670
  4. Step 4: Simplify right side
    122,667.13x = 12,130,566,052.80
  5. Step 5: Solve for x
    x = 12,130,566,052.80/122,667.13
  6. Step 6: Final answer
    x = 98,890.11

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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.