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Finding the Fourth Proportional to 223,906.08, 309,052.08 and 152,405.76

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Solution

The fourth proportional to 223,906.08, 309,052.08 and 152,405.76 is: 210,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,906.08 : 309,052.08 = 152,405.76 : x
  2. Step 2: Convert to fraction form
    223,906.08/309,052.08 = 152,405.76/x
  3. Step 3: Cross multiply
    223,906.08x = 309,052.08 × 152,405.76
  4. Step 4: Simplify right side
    223,906.08x = 47,101,317,131.98
  5. Step 5: Solve for x
    x = 47,101,317,131.98/223,906.08
  6. Step 6: Final answer
    x = 210,361.94

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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.