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Finding the Fourth Proportional to 76,168.92, 114,279.30 and 39,207

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Solution

The fourth proportional to 76,168.92, 114,279.30 and 39,207 is: 58,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168.92 : 114,279.30 = 39,207 : x
  2. Step 2: Convert to fraction form
    76,168.92/114,279.30 = 39,207/x
  3. Step 3: Cross multiply
    76,168.92x = 114,279.30 × 39,207
  4. Step 4: Simplify right side
    76,168.92x = 4,480,548,515.10
  5. Step 5: Solve for x
    x = 4,480,548,515.10/76,168.92
  6. Step 6: Final answer
    x = 58,823.84

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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.