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Finding the Fourth Proportional to 72,889.36, 109,332.12 and 20,302.48

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Solution

The fourth proportional to 72,889.36, 109,332.12 and 20,302.48 is: 30,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,889.36 : 109,332.12 = 20,302.48 : x
  2. Step 2: Convert to fraction form
    72,889.36/109,332.12 = 20,302.48/x
  3. Step 3: Cross multiply
    72,889.36x = 109,332.12 × 20,302.48
  4. Step 4: Simplify right side
    72,889.36x = 2,219,713,179.66
  5. Step 5: Solve for x
    x = 2,219,713,179.66/72,889.36
  6. Step 6: Final answer
    x = 30,453.19

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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.