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Finding the Fourth Proportional to 30,101.52, 45,180 and 15,321

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Solution

The fourth proportional to 30,101.52, 45,180 and 15,321 is: 22,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.52 : 45,180 = 15,321 : x
  2. Step 2: Convert to fraction form
    30,101.52/45,180 = 15,321/x
  3. Step 3: Cross multiply
    30,101.52x = 45,180 × 15,321
  4. Step 4: Simplify right side
    30,101.52x = 692,202,780
  5. Step 5: Solve for x
    x = 692,202,780/30,101.52
  6. Step 6: Final answer
    x = 22,995.61

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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.