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Finding the Fourth Proportional to 255,695.69, 383,506.55 and 78,155.03

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Solution

The fourth proportional to 255,695.69, 383,506.55 and 78,155.03 is: 117,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,695.69 : 383,506.55 = 78,155.03 : x
  2. Step 2: Convert to fraction form
    255,695.69/383,506.55 = 78,155.03/x
  3. Step 3: Cross multiply
    255,695.69x = 383,506.55 × 78,155.03
  4. Step 4: Simplify right side
    255,695.69x = 29,972,964,624.29
  5. Step 5: Solve for x
    x = 29,972,964,624.29/255,695.69
  6. Step 6: Final answer
    x = 117,221.24

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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.