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Finding the Fourth Proportional to 165,287.78, 228,095.43 and 89,835.74

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Solution

The fourth proportional to 165,287.78, 228,095.43 and 89,835.74 is: 123,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,287.78 : 228,095.43 = 89,835.74 : x
  2. Step 2: Convert to fraction form
    165,287.78/228,095.43 = 89,835.74/x
  3. Step 3: Cross multiply
    165,287.78x = 228,095.43 × 89,835.74
  4. Step 4: Simplify right side
    165,287.78x = 20,491,121,744.67
  5. Step 5: Solve for x
    x = 20,491,121,744.67/165,287.78
  6. Step 6: Final answer
    x = 123,972.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.