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Finding the Fourth Proportional to 65,019, 89,726.22 and 35,211

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Solution

The fourth proportional to 65,019, 89,726.22 and 35,211 is: 48,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019 : 89,726.22 = 35,211 : x
  2. Step 2: Convert to fraction form
    65,019/89,726.22 = 35,211/x
  3. Step 3: Cross multiply
    65,019x = 89,726.22 × 35,211
  4. Step 4: Simplify right side
    65,019x = 3,159,349,932.42
  5. Step 5: Solve for x
    x = 3,159,349,932.42/65,019
  6. Step 6: Final answer
    x = 48,591.18

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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.