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Finding the Fourth Proportional to 71,234.64, 106,852.12 and 66,904.40

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Solution

The fourth proportional to 71,234.64, 106,852.12 and 66,904.40 is: 100,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234.64 : 106,852.12 = 66,904.40 : x
  2. Step 2: Convert to fraction form
    71,234.64/106,852.12 = 66,904.40/x
  3. Step 3: Cross multiply
    71,234.64x = 106,852.12 × 66,904.40
  4. Step 4: Simplify right side
    71,234.64x = 7,148,876,977.33
  5. Step 5: Solve for x
    x = 7,148,876,977.33/71,234.64
  6. Step 6: Final answer
    x = 100,356.75

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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.