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Finding the Fourth Proportional to 55,490, 83,235 and 16,578

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Solution

The fourth proportional to 55,490, 83,235 and 16,578 is: 24,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490 : 83,235 = 16,578 : x
  2. Step 2: Convert to fraction form
    55,490/83,235 = 16,578/x
  3. Step 3: Cross multiply
    55,490x = 83,235 × 16,578
  4. Step 4: Simplify right side
    55,490x = 1,379,869,830
  5. Step 5: Solve for x
    x = 1,379,869,830/55,490
  6. Step 6: Final answer
    x = 24,867

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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.