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Finding the Fourth Proportional to 76,350.30, 114,491.90 and 31,340.76

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Solution

The fourth proportional to 76,350.30, 114,491.90 and 31,340.76 is: 46,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350.30 : 114,491.90 = 31,340.76 : x
  2. Step 2: Convert to fraction form
    76,350.30/114,491.90 = 31,340.76/x
  3. Step 3: Cross multiply
    76,350.30x = 114,491.90 × 31,340.76
  4. Step 4: Simplify right side
    76,350.30x = 3,588,263,159.84
  5. Step 5: Solve for x
    x = 3,588,263,159.84/76,350.30
  6. Step 6: Final answer
    x = 46,997.37

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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.