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Finding the Fourth Proportional to 255,896.16, 383,833.17 and 87,431.52

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Solution

The fourth proportional to 255,896.16, 383,833.17 and 87,431.52 is: 131,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,896.16 : 383,833.17 = 87,431.52 : x
  2. Step 2: Convert to fraction form
    255,896.16/383,833.17 = 87,431.52/x
  3. Step 3: Cross multiply
    255,896.16x = 383,833.17 × 87,431.52
  4. Step 4: Simplify right side
    255,896.16x = 33,559,117,479.52
  5. Step 5: Solve for x
    x = 33,559,117,479.52/255,896.16
  6. Step 6: Final answer
    x = 131,143.50

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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.