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Finding the Fourth Proportional to 45,787, 68,672.40 and 20,821.20

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Solution

The fourth proportional to 45,787, 68,672.40 and 20,821.20 is: 31,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,787 : 68,672.40 = 20,821.20 : x
  2. Step 2: Convert to fraction form
    45,787/68,672.40 = 20,821.20/x
  3. Step 3: Cross multiply
    45,787x = 68,672.40 × 20,821.20
  4. Step 4: Simplify right side
    45,787x = 1,429,841,774.88
  5. Step 5: Solve for x
    x = 1,429,841,774.88/45,787
  6. Step 6: Final answer
    x = 31,228.12

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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.