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Finding the Fourth Proportional to 66,838.50, 92,237.13 and 39,982.14

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Solution

The fourth proportional to 66,838.50, 92,237.13 and 39,982.14 is: 55,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838.50 : 92,237.13 = 39,982.14 : x
  2. Step 2: Convert to fraction form
    66,838.50/92,237.13 = 39,982.14/x
  3. Step 3: Cross multiply
    66,838.50x = 92,237.13 × 39,982.14
  4. Step 4: Simplify right side
    66,838.50x = 3,687,837,844.86
  5. Step 5: Solve for x
    x = 3,687,837,844.86/66,838.50
  6. Step 6: Final answer
    x = 55,175.35

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1.5x scale

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.