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Finding the Fourth Proportional to 66,714.57, 100,083.98 and 31,653.90

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Solution

The fourth proportional to 66,714.57, 100,083.98 and 31,653.90 is: 47,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,714.57 : 100,083.98 = 31,653.90 : x
  2. Step 2: Convert to fraction form
    66,714.57/100,083.98 = 31,653.90/x
  3. Step 3: Cross multiply
    66,714.57x = 100,083.98 × 31,653.90
  4. Step 4: Simplify right side
    66,714.57x = 3,168,048,294.52
  5. Step 5: Solve for x
    x = 3,168,048,294.52/66,714.57
  6. Step 6: Final answer
    x = 47,486.60

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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.