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Finding the Fourth Proportional to 65,169, 89,933.22 and 35,361

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Solution

The fourth proportional to 65,169, 89,933.22 and 35,361 is: 48,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169 : 89,933.22 = 35,361 : x
  2. Step 2: Convert to fraction form
    65,169/89,933.22 = 35,361/x
  3. Step 3: Cross multiply
    65,169x = 89,933.22 × 35,361
  4. Step 4: Simplify right side
    65,169x = 3,180,128,592.42
  5. Step 5: Solve for x
    x = 3,180,128,592.42/65,169
  6. Step 6: Final answer
    x = 48,798.18

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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.