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Finding the Fourth Proportional to 45,609.12, 68,420.88 and 19,314

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Solution

The fourth proportional to 45,609.12, 68,420.88 and 19,314 is: 28,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,609.12 : 68,420.88 = 19,314 : x
  2. Step 2: Convert to fraction form
    45,609.12/68,420.88 = 19,314/x
  3. Step 3: Cross multiply
    45,609.12x = 68,420.88 × 19,314
  4. Step 4: Simplify right side
    45,609.12x = 1,321,480,876.32
  5. Step 5: Solve for x
    x = 1,321,480,876.32/45,609.12
  6. Step 6: Final answer
    x = 28,974.05

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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.