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Finding the Fourth Proportional to 255,904.91, 383,843.51 and 78,412.43

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Solution

The fourth proportional to 255,904.91, 383,843.51 and 78,412.43 is: 117,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.91 : 383,843.51 = 78,412.43 : x
  2. Step 2: Convert to fraction form
    255,904.91/383,843.51 = 78,412.43/x
  3. Step 3: Cross multiply
    255,904.91x = 383,843.51 × 78,412.43
  4. Step 4: Simplify right side
    255,904.91x = 30,098,102,358.83
  5. Step 5: Solve for x
    x = 30,098,102,358.83/255,904.91
  6. Step 6: Final answer
    x = 117,614.40

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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.