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Finding the Fourth Proportional to 65,087, 89,820.12 and 35,279

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Solution

The fourth proportional to 65,087, 89,820.12 and 35,279 is: 48,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,087 : 89,820.12 = 35,279 : x
  2. Step 2: Convert to fraction form
    65,087/89,820.12 = 35,279/x
  3. Step 3: Cross multiply
    65,087x = 89,820.12 × 35,279
  4. Step 4: Simplify right side
    65,087x = 3,168,764,013.48
  5. Step 5: Solve for x
    x = 3,168,764,013.48/65,087
  6. Step 6: Final answer
    x = 48,685.05

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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.