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Finding the Fourth Proportional to 30,078.68, 45,114.78 and 15,297

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Solution

The fourth proportional to 30,078.68, 45,114.78 and 15,297 is: 22,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.68 : 45,114.78 = 15,297 : x
  2. Step 2: Convert to fraction form
    30,078.68/45,114.78 = 15,297/x
  3. Step 3: Cross multiply
    30,078.68x = 45,114.78 × 15,297
  4. Step 4: Simplify right side
    30,078.68x = 690,120,789.66
  5. Step 5: Solve for x
    x = 690,120,789.66/30,078.68
  6. Step 6: Final answer
    x = 22,943.85

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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.