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Finding the Fourth Proportional to 72,908.64, 109,363.01 and 20,319.51

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Solution

The fourth proportional to 72,908.64, 109,363.01 and 20,319.51 is: 30,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,908.64 : 109,363.01 = 20,319.51 : x
  2. Step 2: Convert to fraction form
    72,908.64/109,363.01 = 20,319.51/x
  3. Step 3: Cross multiply
    72,908.64x = 109,363.01 × 20,319.51
  4. Step 4: Simplify right side
    72,908.64x = 2,222,202,775.33
  5. Step 5: Solve for x
    x = 2,222,202,775.33/72,908.64
  6. Step 6: Final answer
    x = 30,479.28

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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.