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Finding the Fourth Proportional to 30,204.88, 45,320.82 and 15,406

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Solution

The fourth proportional to 30,204.88, 45,320.82 and 15,406 is: 23,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.88 : 45,320.82 = 15,406 : x
  2. Step 2: Convert to fraction form
    30,204.88/45,320.82 = 15,406/x
  3. Step 3: Cross multiply
    30,204.88x = 45,320.82 × 15,406
  4. Step 4: Simplify right side
    30,204.88x = 698,212,552.92
  5. Step 5: Solve for x
    x = 698,212,552.92/30,204.88
  6. Step 6: Final answer
    x = 23,115.89

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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.