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Finding the Fourth Proportional to 70,438, 105,691.38 and 30,990.16

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Solution

The fourth proportional to 70,438, 105,691.38 and 30,990.16 is: 46,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438 : 105,691.38 = 30,990.16 : x
  2. Step 2: Convert to fraction form
    70,438/105,691.38 = 30,990.16/x
  3. Step 3: Cross multiply
    70,438x = 105,691.38 × 30,990.16
  4. Step 4: Simplify right side
    70,438x = 3,275,392,776.82
  5. Step 5: Solve for x
    x = 3,275,392,776.82/70,438
  6. Step 6: Final answer
    x = 46,500.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.