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Finding the Fourth Proportional to 177,649.40, 266,619.90 and 171,817.40

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Solution

The fourth proportional to 177,649.40, 266,619.90 and 171,817.40 is: 257,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,649.40 : 266,619.90 = 171,817.40 : x
  2. Step 2: Convert to fraction form
    177,649.40/266,619.90 = 171,817.40/x
  3. Step 3: Cross multiply
    177,649.40x = 266,619.90 × 171,817.40
  4. Step 4: Simplify right side
    177,649.40x = 45,809,938,006.26
  5. Step 5: Solve for x
    x = 45,809,938,006.26/177,649.40
  6. Step 6: Final answer
    x = 257,867.11

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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.