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Finding the Fourth Proportional to 206,777.70, 310,166.55 and 187,750.80

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Solution

The fourth proportional to 206,777.70, 310,166.55 and 187,750.80 is: 281,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,777.70 : 310,166.55 = 187,750.80 : x
  2. Step 2: Convert to fraction form
    206,777.70/310,166.55 = 187,750.80/x
  3. Step 3: Cross multiply
    206,777.70x = 310,166.55 × 187,750.80
  4. Step 4: Simplify right side
    206,777.70x = 58,234,017,895.74
  5. Step 5: Solve for x
    x = 58,234,017,895.74/206,777.70
  6. Step 6: Final answer
    x = 281,626.20

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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.