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Finding the Fourth Proportional to 115,435.92, 159,305 and 70,698.64

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Solution

The fourth proportional to 115,435.92, 159,305 and 70,698.64 is: 97,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,435.92 : 159,305 = 70,698.64 : x
  2. Step 2: Convert to fraction form
    115,435.92/159,305 = 70,698.64/x
  3. Step 3: Cross multiply
    115,435.92x = 159,305 × 70,698.64
  4. Step 4: Simplify right side
    115,435.92x = 11,262,646,845.20
  5. Step 5: Solve for x
    x = 11,262,646,845.20/115,435.92
  6. Step 6: Final answer
    x = 97,566.22

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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.