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Finding the Fourth Proportional to 121,420, 167,665.34 and 76,175.76

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Solution

The fourth proportional to 121,420, 167,665.34 and 76,175.76 is: 105,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,420 : 167,665.34 = 76,175.76 : x
  2. Step 2: Convert to fraction form
    121,420/167,665.34 = 76,175.76/x
  3. Step 3: Cross multiply
    121,420x = 167,665.34 × 76,175.76
  4. Step 4: Simplify right side
    121,420x = 12,772,034,700.16
  5. Step 5: Solve for x
    x = 12,772,034,700.16/121,420
  6. Step 6: Final answer
    x = 105,188.89

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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.