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Finding the Fourth Proportional to 120,238.52, 165,828.48 and 90,094.64

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Solution

The fourth proportional to 120,238.52, 165,828.48 and 90,094.64 is: 124,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,238.52 : 165,828.48 = 90,094.64 : x
  2. Step 2: Convert to fraction form
    120,238.52/165,828.48 = 90,094.64/x
  3. Step 3: Cross multiply
    120,238.52x = 165,828.48 × 90,094.64
  4. Step 4: Simplify right side
    120,238.52x = 14,940,257,207.35
  5. Step 5: Solve for x
    x = 14,940,257,207.35/120,238.52
  6. Step 6: Final answer
    x = 124,255.17

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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.