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Finding the Fourth Proportional to 82,479.72, 113,815.08 and 48,489.30

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Solution

The fourth proportional to 82,479.72, 113,815.08 and 48,489.30 is: 66,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,479.72 : 113,815.08 = 48,489.30 : x
  2. Step 2: Convert to fraction form
    82,479.72/113,815.08 = 48,489.30/x
  3. Step 3: Cross multiply
    82,479.72x = 113,815.08 × 48,489.30
  4. Step 4: Simplify right side
    82,479.72x = 5,518,813,558.64
  5. Step 5: Solve for x
    x = 5,518,813,558.64/82,479.72
  6. Step 6: Final answer
    x = 66,911.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.