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Finding the Fourth Proportional to 65,119, 89,864.28 and 35,311

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Solution

The fourth proportional to 65,119, 89,864.28 and 35,311 is: 48,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119 : 89,864.28 = 35,311 : x
  2. Step 2: Convert to fraction form
    65,119/89,864.28 = 35,311/x
  3. Step 3: Cross multiply
    65,119x = 89,864.28 × 35,311
  4. Step 4: Simplify right side
    65,119x = 3,173,197,591.08
  5. Step 5: Solve for x
    x = 3,173,197,591.08/65,119
  6. Step 6: Final answer
    x = 48,729.21

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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.