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Finding the Fourth Proportional to 66,640.28, 91,960.88 and 39,434

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Solution

The fourth proportional to 66,640.28, 91,960.88 and 39,434 is: 54,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,640.28 : 91,960.88 = 39,434 : x
  2. Step 2: Convert to fraction form
    66,640.28/91,960.88 = 39,434/x
  3. Step 3: Cross multiply
    66,640.28x = 91,960.88 × 39,434
  4. Step 4: Simplify right side
    66,640.28x = 3,626,385,341.92
  5. Step 5: Solve for x
    x = 3,626,385,341.92/66,640.28
  6. Step 6: Final answer
    x = 54,417.32

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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.