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Finding the Fourth Proportional to 174,012, 261,018 and 75,516

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Solution

The fourth proportional to 174,012, 261,018 and 75,516 is: 113,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,012 : 261,018 = 75,516 : x
  2. Step 2: Convert to fraction form
    174,012/261,018 = 75,516/x
  3. Step 3: Cross multiply
    174,012x = 261,018 × 75,516
  4. Step 4: Simplify right side
    174,012x = 19,711,035,288
  5. Step 5: Solve for x
    x = 19,711,035,288/174,012
  6. Step 6: Final answer
    x = 113,274

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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.