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Finding the Fourth Proportional to 253,873.32, 381,038.40 and 135,645.72

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Solution

The fourth proportional to 253,873.32, 381,038.40 and 135,645.72 is: 203,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,873.32 : 381,038.40 = 135,645.72 : x
  2. Step 2: Convert to fraction form
    253,873.32/381,038.40 = 135,645.72/x
  3. Step 3: Cross multiply
    253,873.32x = 381,038.40 × 135,645.72
  4. Step 4: Simplify right side
    253,873.32x = 51,686,228,115.65
  5. Step 5: Solve for x
    x = 51,686,228,115.65/253,873.32
  6. Step 6: Final answer
    x = 203,590.63

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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.