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Finding the Fourth Proportional to 65,369, 90,210.66 and 35,561

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Solution

The fourth proportional to 65,369, 90,210.66 and 35,561 is: 49,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,369 : 90,210.66 = 35,561 : x
  2. Step 2: Convert to fraction form
    65,369/90,210.66 = 35,561/x
  3. Step 3: Cross multiply
    65,369x = 90,210.66 × 35,561
  4. Step 4: Simplify right side
    65,369x = 3,207,981,280.26
  5. Step 5: Solve for x
    x = 3,207,981,280.26/65,369
  6. Step 6: Final answer
    x = 49,074.96

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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.