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Finding the Fourth Proportional to 101,400, 152,100 and 27,528

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Solution

The fourth proportional to 101,400, 152,100 and 27,528 is: 41,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400 : 152,100 = 27,528 : x
  2. Step 2: Convert to fraction form
    101,400/152,100 = 27,528/x
  3. Step 3: Cross multiply
    101,400x = 152,100 × 27,528
  4. Step 4: Simplify right side
    101,400x = 4,187,008,800
  5. Step 5: Solve for x
    x = 4,187,008,800/101,400
  6. Step 6: Final answer
    x = 41,292

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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.