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Finding the Fourth Proportional to 76,490.70, 114,691.50 and 29,688.90

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Solution

The fourth proportional to 76,490.70, 114,691.50 and 29,688.90 is: 44,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490.70 : 114,691.50 = 29,688.90 : x
  2. Step 2: Convert to fraction form
    76,490.70/114,691.50 = 29,688.90/x
  3. Step 3: Cross multiply
    76,490.70x = 114,691.50 × 29,688.90
  4. Step 4: Simplify right side
    76,490.70x = 3,405,064,474.35
  5. Step 5: Solve for x
    x = 3,405,064,474.35/76,490.70
  6. Step 6: Final answer
    x = 44,516.06

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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.