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Finding the Fourth Proportional to 70,138.46, 96,789.56 and 38,307.48

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Solution

The fourth proportional to 70,138.46, 96,789.56 and 38,307.48 is: 52,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.46 : 96,789.56 = 38,307.48 : x
  2. Step 2: Convert to fraction form
    70,138.46/96,789.56 = 38,307.48/x
  3. Step 3: Cross multiply
    70,138.46x = 96,789.56 × 38,307.48
  4. Step 4: Simplify right side
    70,138.46x = 3,707,764,133.91
  5. Step 5: Solve for x
    x = 3,707,764,133.91/70,138.46
  6. Step 6: Final answer
    x = 52,863.50

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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.