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Finding the Fourth Proportional to 65,232, 90,020.16 and 35,424

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Solution

The fourth proportional to 65,232, 90,020.16 and 35,424 is: 48,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232 : 90,020.16 = 35,424 : x
  2. Step 2: Convert to fraction form
    65,232/90,020.16 = 35,424/x
  3. Step 3: Cross multiply
    65,232x = 90,020.16 × 35,424
  4. Step 4: Simplify right side
    65,232x = 3,188,874,147.84
  5. Step 5: Solve for x
    x = 3,188,874,147.84/65,232
  6. Step 6: Final answer
    x = 48,885.12

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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.