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Finding the Fourth Proportional to 65,274, 90,078.12 and 38,778

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Solution

The fourth proportional to 65,274, 90,078.12 and 38,778 is: 53,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274 : 90,078.12 = 38,778 : x
  2. Step 2: Convert to fraction form
    65,274/90,078.12 = 38,778/x
  3. Step 3: Cross multiply
    65,274x = 90,078.12 × 38,778
  4. Step 4: Simplify right side
    65,274x = 3,493,049,337.36
  5. Step 5: Solve for x
    x = 3,493,049,337.36/65,274
  6. Step 6: Final answer
    x = 53,513.64

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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.