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Finding the Fourth Proportional to 121,595.80, 167,830.20 and 71,311

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Solution

The fourth proportional to 121,595.80, 167,830.20 and 71,311 is: 98,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,595.80 : 167,830.20 = 71,311 : x
  2. Step 2: Convert to fraction form
    121,595.80/167,830.20 = 71,311/x
  3. Step 3: Cross multiply
    121,595.80x = 167,830.20 × 71,311
  4. Step 4: Simplify right side
    121,595.80x = 11,968,139,392.20
  5. Step 5: Solve for x
    x = 11,968,139,392.20/121,595.80
  6. Step 6: Final answer
    x = 98,425.60

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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.