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Finding the Fourth Proportional to 69,984, 104,996.48 and 20,737.28

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Solution

The fourth proportional to 69,984, 104,996.48 and 20,737.28 is: 31,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984 : 104,996.48 = 20,737.28 : x
  2. Step 2: Convert to fraction form
    69,984/104,996.48 = 20,737.28/x
  3. Step 3: Cross multiply
    69,984x = 104,996.48 × 20,737.28
  4. Step 4: Simplify right side
    69,984x = 2,177,341,404.77
  5. Step 5: Solve for x
    x = 2,177,341,404.77/69,984
  6. Step 6: Final answer
    x = 31,111.99

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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.