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Finding the Fourth Proportional to 217,002.52, 299,456.52 and 120,202.40

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Solution

The fourth proportional to 217,002.52, 299,456.52 and 120,202.40 is: 165,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,002.52 : 299,456.52 = 120,202.40 : x
  2. Step 2: Convert to fraction form
    217,002.52/299,456.52 = 120,202.40/x
  3. Step 3: Cross multiply
    217,002.52x = 299,456.52 × 120,202.40
  4. Step 4: Simplify right side
    217,002.52x = 35,995,392,399.65
  5. Step 5: Solve for x
    x = 35,995,392,399.65/217,002.52
  6. Step 6: Final answer
    x = 165,875.46

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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.