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Finding the Fourth Proportional to 205,000.80, 282,481.20 and 151,200.60

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Solution

The fourth proportional to 205,000.80, 282,481.20 and 151,200.60 is: 208,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.80 : 282,481.20 = 151,200.60 : x
  2. Step 2: Convert to fraction form
    205,000.80/282,481.20 = 151,200.60/x
  3. Step 3: Cross multiply
    205,000.80x = 282,481.20 × 151,200.60
  4. Step 4: Simplify right side
    205,000.80x = 42,711,326,928.72
  5. Step 5: Solve for x
    x = 42,711,326,928.72/205,000.80
  6. Step 6: Final answer
    x = 208,347.12

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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.