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Finding the Fourth Proportional to 69,991.61, 104,971.86 and 20,071.49

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Solution

The fourth proportional to 69,991.61, 104,971.86 and 20,071.49 is: 30,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,991.61 : 104,971.86 = 20,071.49 : x
  2. Step 2: Convert to fraction form
    69,991.61/104,971.86 = 20,071.49/x
  3. Step 3: Cross multiply
    69,991.61x = 104,971.86 × 20,071.49
  4. Step 4: Simplify right side
    69,991.61x = 2,106,941,113.41
  5. Step 5: Solve for x
    x = 2,106,941,113.41/69,991.61
  6. Step 6: Final answer
    x = 30,102.77

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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.