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Finding the Fourth Proportional to 87,264, 130,896 and 21,600

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Solution

The fourth proportional to 87,264, 130,896 and 21,600 is: 32,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 130,896 = 21,600 : x
  2. Step 2: Convert to fraction form
    87,264/130,896 = 21,600/x
  3. Step 3: Cross multiply
    87,264x = 130,896 × 21,600
  4. Step 4: Simplify right side
    87,264x = 2,827,353,600
  5. Step 5: Solve for x
    x = 2,827,353,600/87,264
  6. Step 6: Final answer
    x = 32,400

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.