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Finding the Fourth Proportional to 66,517.84, 91,792.32 and 39,646.51

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Solution

The fourth proportional to 66,517.84, 91,792.32 and 39,646.51 is: 54,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517.84 : 91,792.32 = 39,646.51 : x
  2. Step 2: Convert to fraction form
    66,517.84/91,792.32 = 39,646.51/x
  3. Step 3: Cross multiply
    66,517.84x = 91,792.32 × 39,646.51
  4. Step 4: Simplify right side
    66,517.84x = 3,639,245,132.80
  5. Step 5: Solve for x
    x = 3,639,245,132.80/66,517.84
  6. Step 6: Final answer
    x = 54,710.81

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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.