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Finding the Fourth Proportional to 45,713.12, 68,576.88 and 19,418

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Solution

The fourth proportional to 45,713.12, 68,576.88 and 19,418 is: 29,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,713.12 : 68,576.88 = 19,418 : x
  2. Step 2: Convert to fraction form
    45,713.12/68,576.88 = 19,418/x
  3. Step 3: Cross multiply
    45,713.12x = 68,576.88 × 19,418
  4. Step 4: Simplify right side
    45,713.12x = 1,331,625,855.84
  5. Step 5: Solve for x
    x = 1,331,625,855.84/45,713.12
  6. Step 6: Final answer
    x = 29,130.06

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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.