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Finding the Fourth Proportional to 70,309.26, 96,981.99 and 49,080.78

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Solution

The fourth proportional to 70,309.26, 96,981.99 and 49,080.78 is: 67,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,309.26 : 96,981.99 = 49,080.78 : x
  2. Step 2: Convert to fraction form
    70,309.26/96,981.99 = 49,080.78/x
  3. Step 3: Cross multiply
    70,309.26x = 96,981.99 × 49,080.78
  4. Step 4: Simplify right side
    70,309.26x = 4,759,951,715.15
  5. Step 5: Solve for x
    x = 4,759,951,715.15/70,309.26
  6. Step 6: Final answer
    x = 67,700.21

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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.