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Finding the Fourth Proportional to 66,357, 91,572.66 and 36,549

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Solution

The fourth proportional to 66,357, 91,572.66 and 36,549 is: 50,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,357 : 91,572.66 = 36,549 : x
  2. Step 2: Convert to fraction form
    66,357/91,572.66 = 36,549/x
  3. Step 3: Cross multiply
    66,357x = 91,572.66 × 36,549
  4. Step 4: Simplify right side
    66,357x = 3,346,889,150.34
  5. Step 5: Solve for x
    x = 3,346,889,150.34/66,357
  6. Step 6: Final answer
    x = 50,437.62

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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.