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Finding the Fourth Proportional to 209,165.52, 288,724.60 and 128,700.96

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Solution

The fourth proportional to 209,165.52, 288,724.60 and 128,700.96 is: 177,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,165.52 : 288,724.60 = 128,700.96 : x
  2. Step 2: Convert to fraction form
    209,165.52/288,724.60 = 128,700.96/x
  3. Step 3: Cross multiply
    209,165.52x = 288,724.60 × 128,700.96
  4. Step 4: Simplify right side
    209,165.52x = 37,159,133,195.62
  5. Step 5: Solve for x
    x = 37,159,133,195.62/209,165.52
  6. Step 6: Final answer
    x = 177,654.20

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1.5x scale

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.