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Finding the Fourth Proportional to 64,029, 96,012.80 and 30,266.92

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Solution

The fourth proportional to 64,029, 96,012.80 and 30,266.92 is: 45,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029 : 96,012.80 = 30,266.92 : x
  2. Step 2: Convert to fraction form
    64,029/96,012.80 = 30,266.92/x
  3. Step 3: Cross multiply
    64,029x = 96,012.80 × 30,266.92
  4. Step 4: Simplify right side
    64,029x = 2,906,011,736.58
  5. Step 5: Solve for x
    x = 2,906,011,736.58/64,029
  6. Step 6: Final answer
    x = 45,385.87

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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.