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Finding the Fourth Proportional to 177,455.80, 266,183.70 and 137,798.20

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Solution

The fourth proportional to 177,455.80, 266,183.70 and 137,798.20 is: 206,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,455.80 : 266,183.70 = 137,798.20 : x
  2. Step 2: Convert to fraction form
    177,455.80/266,183.70 = 137,798.20/x
  3. Step 3: Cross multiply
    177,455.80x = 266,183.70 × 137,798.20
  4. Step 4: Simplify right side
    177,455.80x = 36,679,634,729.34
  5. Step 5: Solve for x
    x = 36,679,634,729.34/177,455.80
  6. Step 6: Final answer
    x = 206,697.30

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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.