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Finding the Fourth Proportional to 64,286.78, 96,455.52 and 19,916.98

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Solution

The fourth proportional to 64,286.78, 96,455.52 and 19,916.98 is: 29,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,286.78 : 96,455.52 = 19,916.98 : x
  2. Step 2: Convert to fraction form
    64,286.78/96,455.52 = 19,916.98/x
  3. Step 3: Cross multiply
    64,286.78x = 96,455.52 × 19,916.98
  4. Step 4: Simplify right side
    64,286.78x = 1,921,102,421.59
  5. Step 5: Solve for x
    x = 1,921,102,421.59/64,286.78
  6. Step 6: Final answer
    x = 29,883.32

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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.