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Finding the Fourth Proportional to 70,383.52, 105,473.22 and 38,800

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Solution

The fourth proportional to 70,383.52, 105,473.22 and 38,800 is: 58,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.52 : 105,473.22 = 38,800 : x
  2. Step 2: Convert to fraction form
    70,383.52/105,473.22 = 38,800/x
  3. Step 3: Cross multiply
    70,383.52x = 105,473.22 × 38,800
  4. Step 4: Simplify right side
    70,383.52x = 4,092,360,936
  5. Step 5: Solve for x
    x = 4,092,360,936/70,383.52
  6. Step 6: Final answer
    x = 58,143.74

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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.