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Finding the Fourth Proportional to 65,977, 91,054.02 and 36,174.76

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Solution

The fourth proportional to 65,977, 91,054.02 and 36,174.76 is: 49,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977 : 91,054.02 = 36,174.76 : x
  2. Step 2: Convert to fraction form
    65,977/91,054.02 = 36,174.76/x
  3. Step 3: Cross multiply
    65,977x = 91,054.02 × 36,174.76
  4. Step 4: Simplify right side
    65,977x = 3,293,857,320.54
  5. Step 5: Solve for x
    x = 3,293,857,320.54/65,977
  6. Step 6: Final answer
    x = 49,924.33

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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.