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Finding the Fourth Proportional to 115,464, 159,238.20 and 75,140.64

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Solution

The fourth proportional to 115,464, 159,238.20 and 75,140.64 is: 103,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 159,238.20 = 75,140.64 : x
  2. Step 2: Convert to fraction form
    115,464/159,238.20 = 75,140.64/x
  3. Step 3: Cross multiply
    115,464x = 159,238.20 × 75,140.64
  4. Step 4: Simplify right side
    115,464x = 11,965,260,260.45
  5. Step 5: Solve for x
    x = 11,965,260,260.45/115,464
  6. Step 6: Final answer
    x = 103,627.63

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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.