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Finding the Fourth Proportional to 115,857.86, 159,801.39 and 106,328.52

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Solution

The fourth proportional to 115,857.86, 159,801.39 and 106,328.52 is: 146,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857.86 : 159,801.39 = 106,328.52 : x
  2. Step 2: Convert to fraction form
    115,857.86/159,801.39 = 106,328.52/x
  3. Step 3: Cross multiply
    115,857.86x = 159,801.39 × 106,328.52
  4. Step 4: Simplify right side
    115,857.86x = 16,991,445,292.64
  5. Step 5: Solve for x
    x = 16,991,445,292.64/115,857.86
  6. Step 6: Final answer
    x = 146,657.69

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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.