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Finding the Fourth Proportional to 66,191.94, 91,345.43 and 35,977.25

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Solution

The fourth proportional to 66,191.94, 91,345.43 and 35,977.25 is: 49,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,191.94 : 91,345.43 = 35,977.25 : x
  2. Step 2: Convert to fraction form
    66,191.94/91,345.43 = 35,977.25/x
  3. Step 3: Cross multiply
    66,191.94x = 91,345.43 × 35,977.25
  4. Step 4: Simplify right side
    66,191.94x = 3,286,357,689.77
  5. Step 5: Solve for x
    x = 3,286,357,689.77/66,191.94
  6. Step 6: Final answer
    x = 49,648.91

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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.