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Finding the Fourth Proportional to 68,402.32, 102,639.58 and 48,540.16

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Solution

The fourth proportional to 68,402.32, 102,639.58 and 48,540.16 is: 72,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402.32 : 102,639.58 = 48,540.16 : x
  2. Step 2: Convert to fraction form
    68,402.32/102,639.58 = 48,540.16/x
  3. Step 3: Cross multiply
    68,402.32x = 102,639.58 × 48,540.16
  4. Step 4: Simplify right side
    68,402.32x = 4,982,141,635.53
  5. Step 5: Solve for x
    x = 4,982,141,635.53/68,402.32
  6. Step 6: Final answer
    x = 72,835.86

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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.