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Finding the Fourth Proportional to 121,581.78, 167,810.85 and 71,296.98

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Solution

The fourth proportional to 121,581.78, 167,810.85 and 71,296.98 is: 98,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,581.78 : 167,810.85 = 71,296.98 : x
  2. Step 2: Convert to fraction form
    121,581.78/167,810.85 = 71,296.98/x
  3. Step 3: Cross multiply
    121,581.78x = 167,810.85 × 71,296.98
  4. Step 4: Simplify right side
    121,581.78x = 11,964,406,816.23
  5. Step 5: Solve for x
    x = 11,964,406,816.23/121,581.78
  6. Step 6: Final answer
    x = 98,406.25

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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.