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Finding the Fourth Proportional to 70,369.36, 97,109 and 38,103.82

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Solution

The fourth proportional to 70,369.36, 97,109 and 38,103.82 is: 52,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,369.36 : 97,109 = 38,103.82 : x
  2. Step 2: Convert to fraction form
    70,369.36/97,109 = 38,103.82/x
  3. Step 3: Cross multiply
    70,369.36x = 97,109 × 38,103.82
  4. Step 4: Simplify right side
    70,369.36x = 3,700,223,856.38
  5. Step 5: Solve for x
    x = 3,700,223,856.38/70,369.36
  6. Step 6: Final answer
    x = 52,582.88

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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.