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Finding the Fourth Proportional to 76,670.30, 114,937.05 and 29,912.30

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Solution

The fourth proportional to 76,670.30, 114,937.05 and 29,912.30 is: 44,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.30 : 114,937.05 = 29,912.30 : x
  2. Step 2: Convert to fraction form
    76,670.30/114,937.05 = 29,912.30/x
  3. Step 3: Cross multiply
    76,670.30x = 114,937.05 × 29,912.30
  4. Step 4: Simplify right side
    76,670.30x = 3,438,031,520.72
  5. Step 5: Solve for x
    x = 3,438,031,520.72/76,670.30
  6. Step 6: Final answer
    x = 44,841.76

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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.