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Finding the Fourth Proportional to 338,724.32, 508,086.71 and 86,023.76

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Solution

The fourth proportional to 338,724.32, 508,086.71 and 86,023.76 is: 129,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,724.32 : 508,086.71 = 86,023.76 : x
  2. Step 2: Convert to fraction form
    338,724.32/508,086.71 = 86,023.76/x
  3. Step 3: Cross multiply
    338,724.32x = 508,086.71 × 86,023.76
  4. Step 4: Simplify right side
    338,724.32x = 43,707,529,200.23
  5. Step 5: Solve for x
    x = 43,707,529,200.23/338,724.32
  6. Step 6: Final answer
    x = 129,035.70

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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.