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Finding the Fourth Proportional to 121,381.56, 167,507.28 and 67,670

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Solution

The fourth proportional to 121,381.56, 167,507.28 and 67,670 is: 93,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,381.56 : 167,507.28 = 67,670 : x
  2. Step 2: Convert to fraction form
    121,381.56/167,507.28 = 67,670/x
  3. Step 3: Cross multiply
    121,381.56x = 167,507.28 × 67,670
  4. Step 4: Simplify right side
    121,381.56x = 11,335,217,637.60
  5. Step 5: Solve for x
    x = 11,335,217,637.60/121,381.56
  6. Step 6: Final answer
    x = 93,385.01

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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.