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Finding the Fourth Proportional to 119,863.64, 165,415.80 and 65,418.78

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Solution

The fourth proportional to 119,863.64, 165,415.80 and 65,418.78 is: 90,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,863.64 : 165,415.80 = 65,418.78 : x
  2. Step 2: Convert to fraction form
    119,863.64/165,415.80 = 65,418.78/x
  3. Step 3: Cross multiply
    119,863.64x = 165,415.80 × 65,418.78
  4. Step 4: Simplify right side
    119,863.64x = 10,821,299,828.72
  5. Step 5: Solve for x
    x = 10,821,299,828.72/119,863.64
  6. Step 6: Final answer
    x = 90,280.09

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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.