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Finding the Fourth Proportional to 74,110.50, 111,166.29 and 18,706.50

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Solution

The fourth proportional to 74,110.50, 111,166.29 and 18,706.50 is: 28,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,110.50 : 111,166.29 = 18,706.50 : x
  2. Step 2: Convert to fraction form
    74,110.50/111,166.29 = 18,706.50/x
  3. Step 3: Cross multiply
    74,110.50x = 111,166.29 × 18,706.50
  4. Step 4: Simplify right side
    74,110.50x = 2,079,532,203.89
  5. Step 5: Solve for x
    x = 2,079,532,203.89/74,110.50
  6. Step 6: Final answer
    x = 28,059.89

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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.