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Finding the Fourth Proportional to 76,965.50, 115,440.12 and 36,429.30

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Solution

The fourth proportional to 76,965.50, 115,440.12 and 36,429.30 is: 54,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.50 : 115,440.12 = 36,429.30 : x
  2. Step 2: Convert to fraction form
    76,965.50/115,440.12 = 36,429.30/x
  3. Step 3: Cross multiply
    76,965.50x = 115,440.12 × 36,429.30
  4. Step 4: Simplify right side
    76,965.50x = 4,205,402,763.52
  5. Step 5: Solve for x
    x = 4,205,402,763.52/76,965.50
  6. Step 6: Final answer
    x = 54,640.11

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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.