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Finding the Fourth Proportional to 151,601.80, 209,211.36 and 83,621.20

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Solution

The fourth proportional to 151,601.80, 209,211.36 and 83,621.20 is: 115,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,601.80 : 209,211.36 = 83,621.20 : x
  2. Step 2: Convert to fraction form
    151,601.80/209,211.36 = 83,621.20/x
  3. Step 3: Cross multiply
    151,601.80x = 209,211.36 × 83,621.20
  4. Step 4: Simplify right side
    151,601.80x = 17,494,504,976.83
  5. Step 5: Solve for x
    x = 17,494,504,976.83/151,601.80
  6. Step 6: Final answer
    x = 115,397.74

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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.