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Finding the Fourth Proportional to 101,392, 152,088 and 27,520

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Solution

The fourth proportional to 101,392, 152,088 and 27,520 is: 41,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,392 : 152,088 = 27,520 : x
  2. Step 2: Convert to fraction form
    101,392/152,088 = 27,520/x
  3. Step 3: Cross multiply
    101,392x = 152,088 × 27,520
  4. Step 4: Simplify right side
    101,392x = 4,185,461,760
  5. Step 5: Solve for x
    x = 4,185,461,760/101,392
  6. Step 6: Final answer
    x = 41,280

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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.