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Finding the Fourth Proportional to 338,723.62, 508,085.65 and 86,023.06

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Solution

The fourth proportional to 338,723.62, 508,085.65 and 86,023.06 is: 129,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,723.62 : 508,085.65 = 86,023.06 : x
  2. Step 2: Convert to fraction form
    338,723.62/508,085.65 = 86,023.06/x
  3. Step 3: Cross multiply
    338,723.62x = 508,085.65 × 86,023.06
  4. Step 4: Simplify right side
    338,723.62x = 43,707,081,924.97
  5. Step 5: Solve for x
    x = 43,707,081,924.97/338,723.62
  6. Step 6: Final answer
    x = 129,034.64

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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.