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Finding the Fourth Proportional to 537,466.35, 806,227.74 and 138,109.76

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Solution

The fourth proportional to 537,466.35, 806,227.74 and 138,109.76 is: 207,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,466.35 : 806,227.74 = 138,109.76 : x
  2. Step 2: Convert to fraction form
    537,466.35/806,227.74 = 138,109.76/x
  3. Step 3: Cross multiply
    537,466.35x = 806,227.74 × 138,109.76
  4. Step 4: Simplify right side
    537,466.35x = 111,347,915,645.60
  5. Step 5: Solve for x
    x = 111,347,915,645.60/537,466.35
  6. Step 6: Final answer
    x = 207,171.88

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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.