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Finding the Fourth Proportional to 121,419, 167,663.96 and 76,174.76

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Solution

The fourth proportional to 121,419, 167,663.96 and 76,174.76 is: 105,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,419 : 167,663.96 = 76,174.76 : x
  2. Step 2: Convert to fraction form
    121,419/167,663.96 = 76,174.76/x
  3. Step 3: Cross multiply
    121,419x = 167,663.96 × 76,174.76
  4. Step 4: Simplify right side
    121,419x = 12,771,761,913.65
  5. Step 5: Solve for x
    x = 12,771,761,913.65/121,419
  6. Step 6: Final answer
    x = 105,187.51

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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.