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Finding the Fourth Proportional to 177,662.40, 266,639.40 and 171,830.40

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Solution

The fourth proportional to 177,662.40, 266,639.40 and 171,830.40 is: 257,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,662.40 : 266,639.40 = 171,830.40 : x
  2. Step 2: Convert to fraction form
    177,662.40/266,639.40 = 171,830.40/x
  3. Step 3: Cross multiply
    177,662.40x = 266,639.40 × 171,830.40
  4. Step 4: Simplify right side
    177,662.40x = 45,816,754,757.76
  5. Step 5: Solve for x
    x = 45,816,754,757.76/177,662.40
  6. Step 6: Final answer
    x = 257,886.61

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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.