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Finding the Fourth Proportional to 55,360, 83,040 and 16,448

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Solution

The fourth proportional to 55,360, 83,040 and 16,448 is: 24,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,360 : 83,040 = 16,448 : x
  2. Step 2: Convert to fraction form
    55,360/83,040 = 16,448/x
  3. Step 3: Cross multiply
    55,360x = 83,040 × 16,448
  4. Step 4: Simplify right side
    55,360x = 1,365,841,920
  5. Step 5: Solve for x
    x = 1,365,841,920/55,360
  6. Step 6: Final answer
    x = 24,672

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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.