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Finding the Fourth Proportional to 187,200, 280,800 and 55,872

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Solution

The fourth proportional to 187,200, 280,800 and 55,872 is: 83,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,200 : 280,800 = 55,872 : x
  2. Step 2: Convert to fraction form
    187,200/280,800 = 55,872/x
  3. Step 3: Cross multiply
    187,200x = 280,800 × 55,872
  4. Step 4: Simplify right side
    187,200x = 15,688,857,600
  5. Step 5: Solve for x
    x = 15,688,857,600/187,200
  6. Step 6: Final answer
    x = 83,808

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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.