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Finding the Fourth Proportional to 121,157.31, 167,202 and 67,438.92

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Solution

The fourth proportional to 121,157.31, 167,202 and 67,438.92 is: 93,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,157.31 : 167,202 = 67,438.92 : x
  2. Step 2: Convert to fraction form
    121,157.31/167,202 = 67,438.92/x
  3. Step 3: Cross multiply
    121,157.31x = 167,202 × 67,438.92
  4. Step 4: Simplify right side
    121,157.31x = 11,275,922,301.84
  5. Step 5: Solve for x
    x = 11,275,922,301.84/121,157.31
  6. Step 6: Final answer
    x = 93,068.44

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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.