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Finding the Fourth Proportional to 69,732, 104,615.76 and 20,484

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Solution

The fourth proportional to 69,732, 104,615.76 and 20,484 is: 30,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,732 : 104,615.76 = 20,484 : x
  2. Step 2: Convert to fraction form
    69,732/104,615.76 = 20,484/x
  3. Step 3: Cross multiply
    69,732x = 104,615.76 × 20,484
  4. Step 4: Simplify right side
    69,732x = 2,142,949,227.84
  5. Step 5: Solve for x
    x = 2,142,949,227.84/69,732
  6. Step 6: Final answer
    x = 30,731.22

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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.