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Finding the Fourth Proportional to 119,904, 165,470.16 and 66,188.88

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Solution

The fourth proportional to 119,904, 165,470.16 and 66,188.88 is: 91,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 165,470.16 = 66,188.88 : x
  2. Step 2: Convert to fraction form
    119,904/165,470.16 = 66,188.88/x
  3. Step 3: Cross multiply
    119,904x = 165,470.16 × 66,188.88
  4. Step 4: Simplify right side
    119,904x = 10,952,284,563.82
  5. Step 5: Solve for x
    x = 10,952,284,563.82/119,904
  6. Step 6: Final answer
    x = 91,342.11

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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.