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Finding the Fourth Proportional to 79,692.16, 109,929.24 and 49,832.32

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Solution

The fourth proportional to 79,692.16, 109,929.24 and 49,832.32 is: 68,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,692.16 : 109,929.24 = 49,832.32 : x
  2. Step 2: Convert to fraction form
    79,692.16/109,929.24 = 49,832.32/x
  3. Step 3: Cross multiply
    79,692.16x = 109,929.24 × 49,832.32
  4. Step 4: Simplify right side
    79,692.16x = 5,478,029,065.04
  5. Step 5: Solve for x
    x = 5,478,029,065.04/79,692.16
  6. Step 6: Final answer
    x = 68,739.87

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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.