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Finding the Fourth Proportional to 65,282, 90,089.70 and 35,474

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Solution

The fourth proportional to 65,282, 90,089.70 and 35,474 is: 48,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282 : 90,089.70 = 35,474 : x
  2. Step 2: Convert to fraction form
    65,282/90,089.70 = 35,474/x
  3. Step 3: Cross multiply
    65,282x = 90,089.70 × 35,474
  4. Step 4: Simplify right side
    65,282x = 3,195,842,017.80
  5. Step 5: Solve for x
    x = 3,195,842,017.80/65,282
  6. Step 6: Final answer
    x = 48,954.41

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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.