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Finding the Fourth Proportional to 115,957.72, 160,022.46 and 64,972.36

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Solution

The fourth proportional to 115,957.72, 160,022.46 and 64,972.36 is: 89,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,957.72 : 160,022.46 = 64,972.36 : x
  2. Step 2: Convert to fraction form
    115,957.72/160,022.46 = 64,972.36/x
  3. Step 3: Cross multiply
    115,957.72x = 160,022.46 × 64,972.36
  4. Step 4: Simplify right side
    115,957.72x = 10,397,036,879.21
  5. Step 5: Solve for x
    x = 10,397,036,879.21/115,957.72
  6. Step 6: Final answer
    x = 89,662.31

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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.