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Finding the Fourth Proportional to 64,458.40, 96,694.80 and 20,084.80

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Solution

The fourth proportional to 64,458.40, 96,694.80 and 20,084.80 is: 30,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,458.40 : 96,694.80 = 20,084.80 : x
  2. Step 2: Convert to fraction form
    64,458.40/96,694.80 = 20,084.80/x
  3. Step 3: Cross multiply
    64,458.40x = 96,694.80 × 20,084.80
  4. Step 4: Simplify right side
    64,458.40x = 1,942,095,719.04
  5. Step 5: Solve for x
    x = 1,942,095,719.04/64,458.40
  6. Step 6: Final answer
    x = 30,129.44

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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.