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Finding the Fourth Proportional to 203,140.32, 304,783.35 and 90,811.14

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Solution

The fourth proportional to 203,140.32, 304,783.35 and 90,811.14 is: 136,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,140.32 : 304,783.35 = 90,811.14 : x
  2. Step 2: Convert to fraction form
    203,140.32/304,783.35 = 90,811.14/x
  3. Step 3: Cross multiply
    203,140.32x = 304,783.35 × 90,811.14
  4. Step 4: Simplify right side
    203,140.32x = 27,677,723,466.52
  5. Step 5: Solve for x
    x = 27,677,723,466.52/203,140.32
  6. Step 6: Final answer
    x = 136,249.29

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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.