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Finding the Fourth Proportional to 66,356.62, 91,569.24 and 36,142

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Solution

The fourth proportional to 66,356.62, 91,569.24 and 36,142 is: 49,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,356.62 : 91,569.24 = 36,142 : x
  2. Step 2: Convert to fraction form
    66,356.62/91,569.24 = 36,142/x
  3. Step 3: Cross multiply
    66,356.62x = 91,569.24 × 36,142
  4. Step 4: Simplify right side
    66,356.62x = 3,309,495,472.08
  5. Step 5: Solve for x
    x = 3,309,495,472.08/66,356.62
  6. Step 6: Final answer
    x = 49,874.38

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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.