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Finding the Fourth Proportional to 81,684.48, 112,724.32 and 47,690.40

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Solution

The fourth proportional to 81,684.48, 112,724.32 and 47,690.40 is: 65,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684.48 : 112,724.32 = 47,690.40 : x
  2. Step 2: Convert to fraction form
    81,684.48/112,724.32 = 47,690.40/x
  3. Step 3: Cross multiply
    81,684.48x = 112,724.32 × 47,690.40
  4. Step 4: Simplify right side
    81,684.48x = 5,375,867,910.53
  5. Step 5: Solve for x
    x = 5,375,867,910.53/81,684.48
  6. Step 6: Final answer
    x = 65,812.60

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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.