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Finding the Fourth Proportional to 45,038.84, 67,542.06 and 15,449

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Solution

The fourth proportional to 45,038.84, 67,542.06 and 15,449 is: 23,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038.84 : 67,542.06 = 15,449 : x
  2. Step 2: Convert to fraction form
    45,038.84/67,542.06 = 15,449/x
  3. Step 3: Cross multiply
    45,038.84x = 67,542.06 × 15,449
  4. Step 4: Simplify right side
    45,038.84x = 1,043,457,284.94
  5. Step 5: Solve for x
    x = 1,043,457,284.94/45,038.84
  6. Step 6: Final answer
    x = 23,167.94

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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.