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Finding the Fourth Proportional to 65,000, 89,700 and 35,192

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Solution

The fourth proportional to 65,000, 89,700 and 35,192 is: 48,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 89,700 = 35,192 : x
  2. Step 2: Convert to fraction form
    65,000/89,700 = 35,192/x
  3. Step 3: Cross multiply
    65,000x = 89,700 × 35,192
  4. Step 4: Simplify right side
    65,000x = 3,156,722,400
  5. Step 5: Solve for x
    x = 3,156,722,400/65,000
  6. Step 6: Final answer
    x = 48,564.96

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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.