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Finding the Fourth Proportional to 66,738.33, 100,140.30 and 31,202.08

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Solution

The fourth proportional to 66,738.33, 100,140.30 and 31,202.08 is: 46,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,738.33 : 100,140.30 = 31,202.08 : x
  2. Step 2: Convert to fraction form
    66,738.33/100,140.30 = 31,202.08/x
  3. Step 3: Cross multiply
    66,738.33x = 100,140.30 × 31,202.08
  4. Step 4: Simplify right side
    66,738.33x = 3,124,585,401.47
  5. Step 5: Solve for x
    x = 3,124,585,401.47/66,738.33
  6. Step 6: Final answer
    x = 46,818.45

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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.