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Finding the Fourth Proportional to 76,699.80, 115,002.72 and 29,898

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Solution

The fourth proportional to 76,699.80, 115,002.72 and 29,898 is: 44,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,699.80 : 115,002.72 = 29,898 : x
  2. Step 2: Convert to fraction form
    76,699.80/115,002.72 = 29,898/x
  3. Step 3: Cross multiply
    76,699.80x = 115,002.72 × 29,898
  4. Step 4: Simplify right side
    76,699.80x = 3,438,351,322.56
  5. Step 5: Solve for x
    x = 3,438,351,322.56/76,699.80
  6. Step 6: Final answer
    x = 44,828.69

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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.