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Finding the Fourth Proportional to 66,638.62, 100,007.43 and 31,578.40

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Solution

The fourth proportional to 66,638.62, 100,007.43 and 31,578.40 is: 47,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,638.62 : 100,007.43 = 31,578.40 : x
  2. Step 2: Convert to fraction form
    66,638.62/100,007.43 = 31,578.40/x
  3. Step 3: Cross multiply
    66,638.62x = 100,007.43 × 31,578.40
  4. Step 4: Simplify right side
    66,638.62x = 3,158,074,627.51
  5. Step 5: Solve for x
    x = 3,158,074,627.51/66,638.62
  6. Step 6: Final answer
    x = 47,391.06

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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.