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Finding the Fourth Proportional to 65,497, 90,385.89 and 35,689

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Solution

The fourth proportional to 65,497, 90,385.89 and 35,689 is: 49,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497 : 90,385.89 = 35,689 : x
  2. Step 2: Convert to fraction form
    65,497/90,385.89 = 35,689/x
  3. Step 3: Cross multiply
    65,497x = 90,385.89 × 35,689
  4. Step 4: Simplify right side
    65,497x = 3,225,782,028.21
  5. Step 5: Solve for x
    x = 3,225,782,028.21/65,497
  6. Step 6: Final answer
    x = 49,250.84

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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.