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Finding the Fourth Proportional to 83,680.57, 115,475.95 and 47,873.89

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Solution

The fourth proportional to 83,680.57, 115,475.95 and 47,873.89 is: 66,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,680.57 : 115,475.95 = 47,873.89 : x
  2. Step 2: Convert to fraction form
    83,680.57/115,475.95 = 47,873.89/x
  3. Step 3: Cross multiply
    83,680.57x = 115,475.95 × 47,873.89
  4. Step 4: Simplify right side
    83,680.57x = 5,528,282,927.95
  5. Step 5: Solve for x
    x = 5,528,282,927.95/83,680.57
  6. Step 6: Final answer
    x = 66,064.12

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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.