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Finding the Fourth Proportional to 66,838.90, 100,315.05 and 27,424.30

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Solution

The fourth proportional to 66,838.90, 100,315.05 and 27,424.30 is: 41,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838.90 : 100,315.05 = 27,424.30 : x
  2. Step 2: Convert to fraction form
    66,838.90/100,315.05 = 27,424.30/x
  3. Step 3: Cross multiply
    66,838.90x = 100,315.05 × 27,424.30
  4. Step 4: Simplify right side
    66,838.90x = 2,751,070,025.72
  5. Step 5: Solve for x
    x = 2,751,070,025.72/66,838.90
  6. Step 6: Final answer
    x = 41,159.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.