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Finding the Fourth Proportional to 72,466.12, 108,696.62 and 19,874.76

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Solution

The fourth proportional to 72,466.12, 108,696.62 and 19,874.76 is: 29,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,466.12 : 108,696.62 = 19,874.76 : x
  2. Step 2: Convert to fraction form
    72,466.12/108,696.62 = 19,874.76/x
  3. Step 3: Cross multiply
    72,466.12x = 108,696.62 × 19,874.76
  4. Step 4: Simplify right side
    72,466.12x = 2,160,319,235.31
  5. Step 5: Solve for x
    x = 2,160,319,235.31/72,466.12
  6. Step 6: Final answer
    x = 29,811.44

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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.