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Finding the Fourth Proportional to 255,891.72, 383,880.51 and 78,355.92

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Solution

The fourth proportional to 255,891.72, 383,880.51 and 78,355.92 is: 117,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,891.72 : 383,880.51 = 78,355.92 : x
  2. Step 2: Convert to fraction form
    255,891.72/383,880.51 = 78,355.92/x
  3. Step 3: Cross multiply
    255,891.72x = 383,880.51 × 78,355.92
  4. Step 4: Simplify right side
    255,891.72x = 30,079,310,531.12
  5. Step 5: Solve for x
    x = 30,079,310,531.12/255,891.72
  6. Step 6: Final answer
    x = 117,547.03

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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.