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Finding the Fourth Proportional to 76,700.30, 115,003.47 and 29,898.50

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Solution

The fourth proportional to 76,700.30, 115,003.47 and 29,898.50 is: 44,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700.30 : 115,003.47 = 29,898.50 : x
  2. Step 2: Convert to fraction form
    76,700.30/115,003.47 = 29,898.50/x
  3. Step 3: Cross multiply
    76,700.30x = 115,003.47 × 29,898.50
  4. Step 4: Simplify right side
    76,700.30x = 3,438,431,247.80
  5. Step 5: Solve for x
    x = 3,438,431,247.80/76,700.30
  6. Step 6: Final answer
    x = 44,829.44

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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.