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Finding the Fourth Proportional to 89,807.16, 123,939.44 and 49,520.80

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Solution

The fourth proportional to 89,807.16, 123,939.44 and 49,520.80 is: 68,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,807.16 : 123,939.44 = 49,520.80 : x
  2. Step 2: Convert to fraction form
    89,807.16/123,939.44 = 49,520.80/x
  3. Step 3: Cross multiply
    89,807.16x = 123,939.44 × 49,520.80
  4. Step 4: Simplify right side
    89,807.16x = 6,137,580,220.35
  5. Step 5: Solve for x
    x = 6,137,580,220.35/89,807.16
  6. Step 6: Final answer
    x = 68,341.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.