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Finding the Fourth Proportional to 115,838.08, 159,859.92 and 65,536

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Solution

The fourth proportional to 115,838.08, 159,859.92 and 65,536 is: 90,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838.08 : 159,859.92 = 65,536 : x
  2. Step 2: Convert to fraction form
    115,838.08/159,859.92 = 65,536/x
  3. Step 3: Cross multiply
    115,838.08x = 159,859.92 × 65,536
  4. Step 4: Simplify right side
    115,838.08x = 10,476,579,717.12
  5. Step 5: Solve for x
    x = 10,476,579,717.12/115,838.08
  6. Step 6: Final answer
    x = 90,441.59

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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.