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Finding the Fourth Proportional to 255,785.56, 383,788.86 and 137,318.56

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Solution

The fourth proportional to 255,785.56, 383,788.86 and 137,318.56 is: 206,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,785.56 : 383,788.86 = 137,318.56 : x
  2. Step 2: Convert to fraction form
    255,785.56/383,788.86 = 137,318.56/x
  3. Step 3: Cross multiply
    255,785.56x = 383,788.86 × 137,318.56
  4. Step 4: Simplify right side
    255,785.56x = 52,701,333,599.24
  5. Step 5: Solve for x
    x = 52,701,333,599.24/255,785.56
  6. Step 6: Final answer
    x = 206,037.17

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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.