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Finding the Fourth Proportional to 177,858.40, 266,689.14 and 72,751.20

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Solution

The fourth proportional to 177,858.40, 266,689.14 and 72,751.20 is: 109,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858.40 : 266,689.14 = 72,751.20 : x
  2. Step 2: Convert to fraction form
    177,858.40/266,689.14 = 72,751.20/x
  3. Step 3: Cross multiply
    177,858.40x = 266,689.14 × 72,751.20
  4. Step 4: Simplify right side
    177,858.40x = 19,401,954,961.97
  5. Step 5: Solve for x
    x = 19,401,954,961.97/177,858.40
  6. Step 6: Final answer
    x = 109,086.53

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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.