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Finding the Fourth Proportional to 64,391.40, 96,615.90 and 31,098.60

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Solution

The fourth proportional to 64,391.40, 96,615.90 and 31,098.60 is: 46,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,391.40 : 96,615.90 = 31,098.60 : x
  2. Step 2: Convert to fraction form
    64,391.40/96,615.90 = 31,098.60/x
  3. Step 3: Cross multiply
    64,391.40x = 96,615.90 × 31,098.60
  4. Step 4: Simplify right side
    64,391.40x = 3,004,619,227.74
  5. Step 5: Solve for x
    x = 3,004,619,227.74/64,391.40
  6. Step 6: Final answer
    x = 46,661.81

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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.