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Finding the Fourth Proportional to 310,793.76, 466,144.45 and 86,130.77

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Solution

The fourth proportional to 310,793.76, 466,144.45 and 86,130.77 is: 129,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,793.76 : 466,144.45 = 86,130.77 : x
  2. Step 2: Convert to fraction form
    310,793.76/466,144.45 = 86,130.77/x
  3. Step 3: Cross multiply
    310,793.76x = 466,144.45 × 86,130.77
  4. Step 4: Simplify right side
    310,793.76x = 40,149,380,409.73
  5. Step 5: Solve for x
    x = 40,149,380,409.73/310,793.76
  6. Step 6: Final answer
    x = 129,183.35

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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.