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Finding the Fourth Proportional to 83,596.60, 115,363.32 and 47,787.40

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Solution

The fourth proportional to 83,596.60, 115,363.32 and 47,787.40 is: 65,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.60 : 115,363.32 = 47,787.40 : x
  2. Step 2: Convert to fraction form
    83,596.60/115,363.32 = 47,787.40/x
  3. Step 3: Cross multiply
    83,596.60x = 115,363.32 × 47,787.40
  4. Step 4: Simplify right side
    83,596.60x = 5,512,913,118.17
  5. Step 5: Solve for x
    x = 5,512,913,118.17/83,596.60
  6. Step 6: Final answer
    x = 65,946.62

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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.