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Finding the Fourth Proportional to 83,497.62, 115,222.41 and 47,680.62

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Solution

The fourth proportional to 83,497.62, 115,222.41 and 47,680.62 is: 65,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.62 : 115,222.41 = 47,680.62 : x
  2. Step 2: Convert to fraction form
    83,497.62/115,222.41 = 47,680.62/x
  3. Step 3: Cross multiply
    83,497.62x = 115,222.41 × 47,680.62
  4. Step 4: Simplify right side
    83,497.62x = 5,493,875,946.69
  5. Step 5: Solve for x
    x = 5,493,875,946.69/83,497.62
  6. Step 6: Final answer
    x = 65,796.80

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1.5x scale

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.