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Finding the Fourth Proportional to 76,129.52, 114,227.10 and 31,765.01

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Solution

The fourth proportional to 76,129.52, 114,227.10 and 31,765.01 is: 47,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,129.52 : 114,227.10 = 31,765.01 : x
  2. Step 2: Convert to fraction form
    76,129.52/114,227.10 = 31,765.01/x
  3. Step 3: Cross multiply
    76,129.52x = 114,227.10 × 31,765.01
  4. Step 4: Simplify right side
    76,129.52x = 3,628,424,402.64
  5. Step 5: Solve for x
    x = 3,628,424,402.64/76,129.52
  6. Step 6: Final answer
    x = 47,661.20

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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.