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Finding the Fourth Proportional to 66,041.84, 91,158 and 37,766.36

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Solution

The fourth proportional to 66,041.84, 91,158 and 37,766.36 is: 52,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,041.84 : 91,158 = 37,766.36 : x
  2. Step 2: Convert to fraction form
    66,041.84/91,158 = 37,766.36/x
  3. Step 3: Cross multiply
    66,041.84x = 91,158 × 37,766.36
  4. Step 4: Simplify right side
    66,041.84x = 3,442,705,844.88
  5. Step 5: Solve for x
    x = 3,442,705,844.88/66,041.84
  6. Step 6: Final answer
    x = 52,129.16

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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.