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Finding the Fourth Proportional to 103,864.32, 155,812.80 and 36,414.90

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Solution

The fourth proportional to 103,864.32, 155,812.80 and 36,414.90 is: 54,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864.32 : 155,812.80 = 36,414.90 : x
  2. Step 2: Convert to fraction form
    103,864.32/155,812.80 = 36,414.90/x
  3. Step 3: Cross multiply
    103,864.32x = 155,812.80 × 36,414.90
  4. Step 4: Simplify right side
    103,864.32x = 5,673,907,530.72
  5. Step 5: Solve for x
    x = 5,673,907,530.72/103,864.32
  6. Step 6: Final answer
    x = 54,628.07

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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.