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Finding the Fourth Proportional to 42,551.16, 63,831 and 16,278

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Solution

The fourth proportional to 42,551.16, 63,831 and 16,278 is: 24,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,551.16 : 63,831 = 16,278 : x
  2. Step 2: Convert to fraction form
    42,551.16/63,831 = 16,278/x
  3. Step 3: Cross multiply
    42,551.16x = 63,831 × 16,278
  4. Step 4: Simplify right side
    42,551.16x = 1,039,041,018
  5. Step 5: Solve for x
    x = 1,039,041,018/42,551.16
  6. Step 6: Final answer
    x = 24,418.63

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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.