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Finding the Fourth Proportional to 206,778.72, 310,197.12 and 101,601.84

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Solution

The fourth proportional to 206,778.72, 310,197.12 and 101,601.84 is: 152,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,778.72 : 310,197.12 = 101,601.84 : x
  2. Step 2: Convert to fraction form
    206,778.72/310,197.12 = 101,601.84/x
  3. Step 3: Cross multiply
    206,778.72x = 310,197.12 × 101,601.84
  4. Step 4: Simplify right side
    206,778.72x = 31,516,598,154.70
  5. Step 5: Solve for x
    x = 31,516,598,154.70/206,778.72
  6. Step 6: Final answer
    x = 152,417.03

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1.5x scale

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.