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Finding the Fourth Proportional to 177,404.70, 266,107.05 and 145,911.90

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Solution

The fourth proportional to 177,404.70, 266,107.05 and 145,911.90 is: 218,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,404.70 : 266,107.05 = 145,911.90 : x
  2. Step 2: Convert to fraction form
    177,404.70/266,107.05 = 145,911.90/x
  3. Step 3: Cross multiply
    177,404.70x = 266,107.05 × 145,911.90
  4. Step 4: Simplify right side
    177,404.70x = 38,828,185,268.90
  5. Step 5: Solve for x
    x = 38,828,185,268.90/177,404.70
  6. Step 6: Final answer
    x = 218,867.85

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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.