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Finding the Fourth Proportional to 115,329.08, 159,159.66 and 65,027

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Solution

The fourth proportional to 115,329.08, 159,159.66 and 65,027 is: 89,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,329.08 : 159,159.66 = 65,027 : x
  2. Step 2: Convert to fraction form
    115,329.08/159,159.66 = 65,027/x
  3. Step 3: Cross multiply
    115,329.08x = 159,159.66 × 65,027
  4. Step 4: Simplify right side
    115,329.08x = 10,349,675,210.82
  5. Step 5: Solve for x
    x = 10,349,675,210.82/115,329.08
  6. Step 6: Final answer
    x = 89,740.38

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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.