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Finding the Fourth Proportional to 64,711.32, 96,942.56 and 39,678.36

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Solution

The fourth proportional to 64,711.32, 96,942.56 and 39,678.36 is: 59,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711.32 : 96,942.56 = 39,678.36 : x
  2. Step 2: Convert to fraction form
    64,711.32/96,942.56 = 39,678.36/x
  3. Step 3: Cross multiply
    64,711.32x = 96,942.56 × 39,678.36
  4. Step 4: Simplify right side
    64,711.32x = 3,846,521,795.00
  5. Step 5: Solve for x
    x = 3,846,521,795.00/64,711.32
  6. Step 6: Final answer
    x = 59,441.25

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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.