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Finding the Fourth Proportional to 167,870.80, 251,806.20 and 161,419.60

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Solution

The fourth proportional to 167,870.80, 251,806.20 and 161,419.60 is: 242,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,870.80 : 251,806.20 = 161,419.60 : x
  2. Step 2: Convert to fraction form
    167,870.80/251,806.20 = 161,419.60/x
  3. Step 3: Cross multiply
    167,870.80x = 251,806.20 × 161,419.60
  4. Step 4: Simplify right side
    167,870.80x = 40,646,456,081.52
  5. Step 5: Solve for x
    x = 40,646,456,081.52/167,870.80
  6. Step 6: Final answer
    x = 242,129.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.