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Finding the Fourth Proportional to 121,516, 167,698.56 and 71,231.20

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Solution

The fourth proportional to 121,516, 167,698.56 and 71,231.20 is: 98,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,516 : 167,698.56 = 71,231.20 : x
  2. Step 2: Convert to fraction form
    121,516/167,698.56 = 71,231.20/x
  3. Step 3: Cross multiply
    121,516x = 167,698.56 × 71,231.20
  4. Step 4: Simplify right side
    121,516x = 11,945,369,667.07
  5. Step 5: Solve for x
    x = 11,945,369,667.07/121,516
  6. Step 6: Final answer
    x = 98,302.85

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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.