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Finding the Fourth Proportional to 66,624, 91,941.36 and 36,816

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Solution

The fourth proportional to 66,624, 91,941.36 and 36,816 is: 50,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,624 : 91,941.36 = 36,816 : x
  2. Step 2: Convert to fraction form
    66,624/91,941.36 = 36,816/x
  3. Step 3: Cross multiply
    66,624x = 91,941.36 × 36,816
  4. Step 4: Simplify right side
    66,624x = 3,384,913,109.76
  5. Step 5: Solve for x
    x = 3,384,913,109.76/66,624
  6. Step 6: Final answer
    x = 50,806.21

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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.