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Finding the Fourth Proportional to 83,437.80, 115,152.42 and 47,633.22

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Solution

The fourth proportional to 83,437.80, 115,152.42 and 47,633.22 is: 65,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.80 : 115,152.42 = 47,633.22 : x
  2. Step 2: Convert to fraction form
    83,437.80/115,152.42 = 47,633.22/x
  3. Step 3: Cross multiply
    83,437.80x = 115,152.42 × 47,633.22
  4. Step 4: Simplify right side
    83,437.80x = 5,485,080,555.39
  5. Step 5: Solve for x
    x = 5,485,080,555.39/83,437.80
  6. Step 6: Final answer
    x = 65,738.56

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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.