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Finding the Fourth Proportional to 64,228.76, 96,255.60 and 30,946.40

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Solution

The fourth proportional to 64,228.76, 96,255.60 and 30,946.40 is: 46,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,228.76 : 96,255.60 = 30,946.40 : x
  2. Step 2: Convert to fraction form
    64,228.76/96,255.60 = 30,946.40/x
  3. Step 3: Cross multiply
    64,228.76x = 96,255.60 × 30,946.40
  4. Step 4: Simplify right side
    64,228.76x = 2,978,764,299.84
  5. Step 5: Solve for x
    x = 2,978,764,299.84/64,228.76
  6. Step 6: Final answer
    x = 46,377.42

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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.