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Finding the Fourth Proportional to 312,777.23, 469,165.88 and 76,119.91

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Solution

The fourth proportional to 312,777.23, 469,165.88 and 76,119.91 is: 114,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,777.23 : 469,165.88 = 76,119.91 : x
  2. Step 2: Convert to fraction form
    312,777.23/469,165.88 = 76,119.91/x
  3. Step 3: Cross multiply
    312,777.23x = 469,165.88 × 76,119.91
  4. Step 4: Simplify right side
    312,777.23x = 35,712,863,578.06
  5. Step 5: Solve for x
    x = 35,712,863,578.06/312,777.23
  6. Step 6: Final answer
    x = 114,179.87

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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.