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Finding the Fourth Proportional to 64,585.32, 96,879.82 and 17,838.20

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Solution

The fourth proportional to 64,585.32, 96,879.82 and 17,838.20 is: 26,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,585.32 : 96,879.82 = 17,838.20 : x
  2. Step 2: Convert to fraction form
    64,585.32/96,879.82 = 17,838.20/x
  3. Step 3: Cross multiply
    64,585.32x = 96,879.82 × 17,838.20
  4. Step 4: Simplify right side
    64,585.32x = 1,728,161,605.12
  5. Step 5: Solve for x
    x = 1,728,161,605.12/64,585.32
  6. Step 6: Final answer
    x = 26,757.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.