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Finding the Fourth Proportional to 76,751.12, 114,914.10 and 39,230.40

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Solution

The fourth proportional to 76,751.12, 114,914.10 and 39,230.40 is: 58,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.12 : 114,914.10 = 39,230.40 : x
  2. Step 2: Convert to fraction form
    76,751.12/114,914.10 = 39,230.40/x
  3. Step 3: Cross multiply
    76,751.12x = 114,914.10 × 39,230.40
  4. Step 4: Simplify right side
    76,751.12x = 4,508,126,108.64
  5. Step 5: Solve for x
    x = 4,508,126,108.64/76,751.12
  6. Step 6: Final answer
    x = 58,736.94

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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.