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Finding the Fourth Proportional to 66,642.62, 100,013.44 and 31,582.40

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Solution

The fourth proportional to 66,642.62, 100,013.44 and 31,582.40 is: 47,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642.62 : 100,013.44 = 31,582.40 : x
  2. Step 2: Convert to fraction form
    66,642.62/100,013.44 = 31,582.40/x
  3. Step 3: Cross multiply
    66,642.62x = 100,013.44 × 31,582.40
  4. Step 4: Simplify right side
    66,642.62x = 3,158,664,467.46
  5. Step 5: Solve for x
    x = 3,158,664,467.46/66,642.62
  6. Step 6: Final answer
    x = 47,397.06

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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.