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Finding the Fourth Proportional to 174,103.40, 261,178.35 and 68,897.78

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Solution

The fourth proportional to 174,103.40, 261,178.35 and 68,897.78 is: 103,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,103.40 : 261,178.35 = 68,897.78 : x
  2. Step 2: Convert to fraction form
    174,103.40/261,178.35 = 68,897.78/x
  3. Step 3: Cross multiply
    174,103.40x = 261,178.35 × 68,897.78
  4. Step 4: Simplify right side
    174,103.40x = 17,994,608,499.06
  5. Step 5: Solve for x
    x = 17,994,608,499.06/174,103.40
  6. Step 6: Final answer
    x = 103,355.87

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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.