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Finding the Fourth Proportional to 78,758.66, 118,138.41 and 19,594.34

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Solution

The fourth proportional to 78,758.66, 118,138.41 and 19,594.34 is: 29,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,758.66 : 118,138.41 = 19,594.34 : x
  2. Step 2: Convert to fraction form
    78,758.66/118,138.41 = 19,594.34/x
  3. Step 3: Cross multiply
    78,758.66x = 118,138.41 × 19,594.34
  4. Step 4: Simplify right side
    78,758.66x = 2,314,843,581.91
  5. Step 5: Solve for x
    x = 2,314,843,581.91/78,758.66
  6. Step 6: Final answer
    x = 29,391.61

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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.