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Finding the Fourth Proportional to 70,285.20, 96,993.81 and 38,454

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Solution

The fourth proportional to 70,285.20, 96,993.81 and 38,454 is: 53,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.20 : 96,993.81 = 38,454 : x
  2. Step 2: Convert to fraction form
    70,285.20/96,993.81 = 38,454/x
  3. Step 3: Cross multiply
    70,285.20x = 96,993.81 × 38,454
  4. Step 4: Simplify right side
    70,285.20x = 3,729,799,969.74
  5. Step 5: Solve for x
    x = 3,729,799,969.74/70,285.20
  6. Step 6: Final answer
    x = 53,066.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.