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Finding the Fourth Proportional to 119,572.12, 165,009.72 and 65,857.24

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Solution

The fourth proportional to 119,572.12, 165,009.72 and 65,857.24 is: 90,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,572.12 : 165,009.72 = 65,857.24 : x
  2. Step 2: Convert to fraction form
    119,572.12/165,009.72 = 65,857.24/x
  3. Step 3: Cross multiply
    119,572.12x = 165,009.72 × 65,857.24
  4. Step 4: Simplify right side
    119,572.12x = 10,867,084,732.37
  5. Step 5: Solve for x
    x = 10,867,084,732.37/119,572.12
  6. Step 6: Final answer
    x = 90,883.10

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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.