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Finding the Fourth Proportional to 65,746, 90,729.84 and 35,938

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Solution

The fourth proportional to 65,746, 90,729.84 and 35,938 is: 49,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746 : 90,729.84 = 35,938 : x
  2. Step 2: Convert to fraction form
    65,746/90,729.84 = 35,938/x
  3. Step 3: Cross multiply
    65,746x = 90,729.84 × 35,938
  4. Step 4: Simplify right side
    65,746x = 3,260,648,989.92
  5. Step 5: Solve for x
    x = 3,260,648,989.92/65,746
  6. Step 6: Final answer
    x = 49,594.64

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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.