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Finding the Fourth Proportional to 70,246.80, 96,939.60 and 38,415.12

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Solution

The fourth proportional to 70,246.80, 96,939.60 and 38,415.12 is: 53,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,246.80 : 96,939.60 = 38,415.12 : x
  2. Step 2: Convert to fraction form
    70,246.80/96,939.60 = 38,415.12/x
  3. Step 3: Cross multiply
    70,246.80x = 96,939.60 × 38,415.12
  4. Step 4: Simplify right side
    70,246.80x = 3,723,946,366.75
  5. Step 5: Solve for x
    x = 3,723,946,366.75/70,246.80
  6. Step 6: Final answer
    x = 53,012.33

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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.