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Finding the Fourth Proportional to 96,144, 144,216 and 30,480

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Solution

The fourth proportional to 96,144, 144,216 and 30,480 is: 45,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,144 : 144,216 = 30,480 : x
  2. Step 2: Convert to fraction form
    96,144/144,216 = 30,480/x
  3. Step 3: Cross multiply
    96,144x = 144,216 × 30,480
  4. Step 4: Simplify right side
    96,144x = 4,395,703,680
  5. Step 5: Solve for x
    x = 4,395,703,680/96,144
  6. Step 6: Final answer
    x = 45,720

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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.