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Finding the Fourth Proportional to 64,641.92, 96,963.24 and 19,663.88

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Solution

The fourth proportional to 64,641.92, 96,963.24 and 19,663.88 is: 29,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641.92 : 96,963.24 = 19,663.88 : x
  2. Step 2: Convert to fraction form
    64,641.92/96,963.24 = 19,663.88/x
  3. Step 3: Cross multiply
    64,641.92x = 96,963.24 × 19,663.88
  4. Step 4: Simplify right side
    64,641.92x = 1,906,673,515.77
  5. Step 5: Solve for x
    x = 1,906,673,515.77/64,641.92
  6. Step 6: Final answer
    x = 29,495.93

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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.