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Finding the Fourth Proportional to 72,362.25, 108,496.80 and 30,231.05

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Solution

The fourth proportional to 72,362.25, 108,496.80 and 30,231.05 is: 45,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,362.25 : 108,496.80 = 30,231.05 : x
  2. Step 2: Convert to fraction form
    72,362.25/108,496.80 = 30,231.05/x
  3. Step 3: Cross multiply
    72,362.25x = 108,496.80 × 30,231.05
  4. Step 4: Simplify right side
    72,362.25x = 3,279,971,643.16
  5. Step 5: Solve for x
    x = 3,279,971,643.16/72,362.25
  6. Step 6: Final answer
    x = 45,327.11

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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.