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Finding the Fourth Proportional to 96,145, 144,217.50 and 30,481

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Solution

The fourth proportional to 96,145, 144,217.50 and 30,481 is: 45,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,145 : 144,217.50 = 30,481 : x
  2. Step 2: Convert to fraction form
    96,145/144,217.50 = 30,481/x
  3. Step 3: Cross multiply
    96,145x = 144,217.50 × 30,481
  4. Step 4: Simplify right side
    96,145x = 4,395,893,617.50
  5. Step 5: Solve for x
    x = 4,395,893,617.50/96,145
  6. Step 6: Final answer
    x = 45,721.50

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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.