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Finding the Fourth Proportional to 121,470.24, 167,643.56 and 71,169.24

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Solution

The fourth proportional to 121,470.24, 167,643.56 and 71,169.24 is: 98,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470.24 : 167,643.56 = 71,169.24 : x
  2. Step 2: Convert to fraction form
    121,470.24/167,643.56 = 71,169.24/x
  3. Step 3: Cross multiply
    121,470.24x = 167,643.56 × 71,169.24
  4. Step 4: Simplify right side
    121,470.24x = 11,931,064,756.09
  5. Step 5: Solve for x
    x = 11,931,064,756.09/121,470.24
  6. Step 6: Final answer
    x = 98,222.12

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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.