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Finding the Fourth Proportional to 123,533.51, 185,311.20 and 34,787.78

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Solution

The fourth proportional to 123,533.51, 185,311.20 and 34,787.78 is: 52,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.51 : 185,311.20 = 34,787.78 : x
  2. Step 2: Convert to fraction form
    123,533.51/185,311.20 = 34,787.78/x
  3. Step 3: Cross multiply
    123,533.51x = 185,311.20 × 34,787.78
  4. Step 4: Simplify right side
    123,533.51x = 6,446,565,257.14
  5. Step 5: Solve for x
    x = 6,446,565,257.14/123,533.51
  6. Step 6: Final answer
    x = 52,184.75

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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.