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Finding the Fourth Proportional to 76,360.21, 114,404.81 and 31,889.12

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Solution

The fourth proportional to 76,360.21, 114,404.81 and 31,889.12 is: 47,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360.21 : 114,404.81 = 31,889.12 : x
  2. Step 2: Convert to fraction form
    76,360.21/114,404.81 = 31,889.12/x
  3. Step 3: Cross multiply
    76,360.21x = 114,404.81 × 31,889.12
  4. Step 4: Simplify right side
    76,360.21x = 3,648,267,983.20
  5. Step 5: Solve for x
    x = 3,648,267,983.20/76,360.21
  6. Step 6: Final answer
    x = 47,777.08

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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.