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Finding the Fourth Proportional to 66,138.69, 91,275.96 and 37,458

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Solution

The fourth proportional to 66,138.69, 91,275.96 and 37,458 is: 51,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138.69 : 91,275.96 = 37,458 : x
  2. Step 2: Convert to fraction form
    66,138.69/91,275.96 = 37,458/x
  3. Step 3: Cross multiply
    66,138.69x = 91,275.96 × 37,458
  4. Step 4: Simplify right side
    66,138.69x = 3,419,014,909.68
  5. Step 5: Solve for x
    x = 3,419,014,909.68/66,138.69
  6. Step 6: Final answer
    x = 51,694.63

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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.