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Finding the Fourth Proportional to 271,781, 407,420.02 and 103,250.80

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Solution

The fourth proportional to 271,781, 407,420.02 and 103,250.80 is: 154,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,781 : 407,420.02 = 103,250.80 : x
  2. Step 2: Convert to fraction form
    271,781/407,420.02 = 103,250.80/x
  3. Step 3: Cross multiply
    271,781x = 407,420.02 × 103,250.80
  4. Step 4: Simplify right side
    271,781x = 42,066,443,001.02
  5. Step 5: Solve for x
    x = 42,066,443,001.02/271,781
  6. Step 6: Final answer
    x = 154,780.66

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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.