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Finding the Fourth Proportional to 83,617.70, 115,388.72 and 47,810.04

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Solution

The fourth proportional to 83,617.70, 115,388.72 and 47,810.04 is: 65,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.70 : 115,388.72 = 47,810.04 : x
  2. Step 2: Convert to fraction form
    83,617.70/115,388.72 = 47,810.04/x
  3. Step 3: Cross multiply
    83,617.70x = 115,388.72 × 47,810.04
  4. Step 4: Simplify right side
    83,617.70x = 5,516,739,318.75
  5. Step 5: Solve for x
    x = 5,516,739,318.75/83,617.70
  6. Step 6: Final answer
    x = 65,975.74

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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.