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Finding the Fourth Proportional to 65,205.76, 89,984 and 36,920.56

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Solution

The fourth proportional to 65,205.76, 89,984 and 36,920.56 is: 50,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.76 : 89,984 = 36,920.56 : x
  2. Step 2: Convert to fraction form
    65,205.76/89,984 = 36,920.56/x
  3. Step 3: Cross multiply
    65,205.76x = 89,984 × 36,920.56
  4. Step 4: Simplify right side
    65,205.76x = 3,322,259,671.04
  5. Step 5: Solve for x
    x = 3,322,259,671.04/65,205.76
  6. Step 6: Final answer
    x = 50,950.40

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1.5x scale

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.