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Finding the Fourth Proportional to 87,008, 130,512 and 37,760

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Solution

The fourth proportional to 87,008, 130,512 and 37,760 is: 56,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008 : 130,512 = 37,760 : x
  2. Step 2: Convert to fraction form
    87,008/130,512 = 37,760/x
  3. Step 3: Cross multiply
    87,008x = 130,512 × 37,760
  4. Step 4: Simplify right side
    87,008x = 4,928,133,120
  5. Step 5: Solve for x
    x = 4,928,133,120/87,008
  6. Step 6: Final answer
    x = 56,640

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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.