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Finding the Fourth Proportional to 70,262.15, 96,964.07 and 38,431.05

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Solution

The fourth proportional to 70,262.15, 96,964.07 and 38,431.05 is: 53,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,262.15 : 96,964.07 = 38,431.05 : x
  2. Step 2: Convert to fraction form
    70,262.15/96,964.07 = 38,431.05/x
  3. Step 3: Cross multiply
    70,262.15x = 96,964.07 × 38,431.05
  4. Step 4: Simplify right side
    70,262.15x = 3,726,431,022.37
  5. Step 5: Solve for x
    x = 3,726,431,022.37/70,262.15
  6. Step 6: Final answer
    x = 53,036.11

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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.