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Finding the Fourth Proportional to 66,992.92, 100,418.34 and 31,424.20

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Solution

The fourth proportional to 66,992.92, 100,418.34 and 31,424.20 is: 47,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992.92 : 100,418.34 = 31,424.20 : x
  2. Step 2: Convert to fraction form
    66,992.92/100,418.34 = 31,424.20/x
  3. Step 3: Cross multiply
    66,992.92x = 100,418.34 × 31,424.20
  4. Step 4: Simplify right side
    66,992.92x = 3,155,565,999.83
  5. Step 5: Solve for x
    x = 3,155,565,999.83/66,992.92
  6. Step 6: Final answer
    x = 47,102.98

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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.