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Finding the Fourth Proportional to 165,442.67, 248,207.74 and 86,535.71

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Solution

The fourth proportional to 165,442.67, 248,207.74 and 86,535.71 is: 129,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,442.67 : 248,207.74 = 86,535.71 : x
  2. Step 2: Convert to fraction form
    165,442.67/248,207.74 = 86,535.71/x
  3. Step 3: Cross multiply
    165,442.67x = 248,207.74 × 86,535.71
  4. Step 4: Simplify right side
    165,442.67x = 21,478,833,008.40
  5. Step 5: Solve for x
    x = 21,478,833,008.40/165,442.67
  6. Step 6: Final answer
    x = 129,826.44

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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.