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Finding the Fourth Proportional to 115,451.92, 159,322.11 and 64,465.51

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Solution

The fourth proportional to 115,451.92, 159,322.11 and 64,465.51 is: 88,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,451.92 : 159,322.11 = 64,465.51 : x
  2. Step 2: Convert to fraction form
    115,451.92/159,322.11 = 64,465.51/x
  3. Step 3: Cross multiply
    115,451.92x = 159,322.11 × 64,465.51
  4. Step 4: Simplify right side
    115,451.92x = 10,270,781,075.43
  5. Step 5: Solve for x
    x = 10,270,781,075.43/115,451.92
  6. Step 6: Final answer
    x = 88,961.54

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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.