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Finding the Fourth Proportional to 177,748.40, 266,768.40 and 171,916.40

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Solution

The fourth proportional to 177,748.40, 266,768.40 and 171,916.40 is: 258,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748.40 : 266,768.40 = 171,916.40 : x
  2. Step 2: Convert to fraction form
    177,748.40/266,768.40 = 171,916.40/x
  3. Step 3: Cross multiply
    177,748.40x = 266,768.40 × 171,916.40
  4. Step 4: Simplify right side
    177,748.40x = 45,861,862,961.76
  5. Step 5: Solve for x
    x = 45,861,862,961.76/177,748.40
  6. Step 6: Final answer
    x = 258,015.62

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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.