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Finding the Fourth Proportional to 255,689.85, 383,534.64 and 78,196.89

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Solution

The fourth proportional to 255,689.85, 383,534.64 and 78,196.89 is: 117,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,689.85 : 383,534.64 = 78,196.89 : x
  2. Step 2: Convert to fraction form
    255,689.85/383,534.64 = 78,196.89/x
  3. Step 3: Cross multiply
    255,689.85x = 383,534.64 × 78,196.89
  4. Step 4: Simplify right side
    255,689.85x = 29,991,216,055.27
  5. Step 5: Solve for x
    x = 29,991,216,055.27/255,689.85
  6. Step 6: Final answer
    x = 117,295.29

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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.