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Finding the Fourth Proportional to 65,193, 89,966.42 and 35,385

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Solution

The fourth proportional to 65,193, 89,966.42 and 35,385 is: 48,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193 : 89,966.42 = 35,385 : x
  2. Step 2: Convert to fraction form
    65,193/89,966.42 = 35,385/x
  3. Step 3: Cross multiply
    65,193x = 89,966.42 × 35,385
  4. Step 4: Simplify right side
    65,193x = 3,183,461,771.70
  5. Step 5: Solve for x
    x = 3,183,461,771.70/65,193
  6. Step 6: Final answer
    x = 48,831.34

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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.