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Finding the Fourth Proportional to 64,390.40, 96,614.40 and 31,097.60

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Solution

The fourth proportional to 64,390.40, 96,614.40 and 31,097.60 is: 46,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,390.40 : 96,614.40 = 31,097.60 : x
  2. Step 2: Convert to fraction form
    64,390.40/96,614.40 = 31,097.60/x
  3. Step 3: Cross multiply
    64,390.40x = 96,614.40 × 31,097.60
  4. Step 4: Simplify right side
    64,390.40x = 3,004,475,965.44
  5. Step 5: Solve for x
    x = 3,004,475,965.44/64,390.40
  6. Step 6: Final answer
    x = 46,660.31

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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.