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Finding the Fourth Proportional to 310,749.64, 466,147.95 and 86,107.48

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Solution

The fourth proportional to 310,749.64, 466,147.95 and 86,107.48 is: 129,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,749.64 : 466,147.95 = 86,107.48 : x
  2. Step 2: Convert to fraction form
    310,749.64/466,147.95 = 86,107.48/x
  3. Step 3: Cross multiply
    310,749.64x = 466,147.95 × 86,107.48
  4. Step 4: Simplify right side
    310,749.64x = 40,138,823,793.39
  5. Step 5: Solve for x
    x = 40,138,823,793.39/310,749.64
  6. Step 6: Final answer
    x = 129,167.73

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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.