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Finding the Fourth Proportional to 177,769.60, 266,769.60 and 102,889.60

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Solution

The fourth proportional to 177,769.60, 266,769.60 and 102,889.60 is: 154,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,769.60 : 266,769.60 = 102,889.60 : x
  2. Step 2: Convert to fraction form
    177,769.60/266,769.60 = 102,889.60/x
  3. Step 3: Cross multiply
    177,769.60x = 266,769.60 × 102,889.60
  4. Step 4: Simplify right side
    177,769.60x = 27,447,817,436.16
  5. Step 5: Solve for x
    x = 27,447,817,436.16/177,769.60
  6. Step 6: Final answer
    x = 154,401.08

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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.