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Finding the Fourth Proportional to 121,170.71, 167,158.14 and 85,380.41

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Solution

The fourth proportional to 121,170.71, 167,158.14 and 85,380.41 is: 117,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,170.71 : 167,158.14 = 85,380.41 : x
  2. Step 2: Convert to fraction form
    121,170.71/167,158.14 = 85,380.41/x
  3. Step 3: Cross multiply
    121,170.71x = 167,158.14 × 85,380.41
  4. Step 4: Simplify right side
    121,170.71x = 14,272,030,528.04
  5. Step 5: Solve for x
    x = 14,272,030,528.04/121,170.71
  6. Step 6: Final answer
    x = 117,784.49

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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.