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Finding the Fourth Proportional to 68,471.60, 102,784.20 and 40,785.20

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Solution

The fourth proportional to 68,471.60, 102,784.20 and 40,785.20 is: 61,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.60 : 102,784.20 = 40,785.20 : x
  2. Step 2: Convert to fraction form
    68,471.60/102,784.20 = 40,785.20/x
  3. Step 3: Cross multiply
    68,471.60x = 102,784.20 × 40,785.20
  4. Step 4: Simplify right side
    68,471.60x = 4,192,074,153.84
  5. Step 5: Solve for x
    x = 4,192,074,153.84/68,471.60
  6. Step 6: Final answer
    x = 61,223.55

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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.