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Finding the Fourth Proportional to 105,537.80, 158,537.10 and 74,433.80

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Solution

The fourth proportional to 105,537.80, 158,537.10 and 74,433.80 is: 111,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,537.80 : 158,537.10 = 74,433.80 : x
  2. Step 2: Convert to fraction form
    105,537.80/158,537.10 = 74,433.80/x
  3. Step 3: Cross multiply
    105,537.80x = 158,537.10 × 74,433.80
  4. Step 4: Simplify right side
    105,537.80x = 11,800,518,793.98
  5. Step 5: Solve for x
    x = 11,800,518,793.98/105,537.80
  6. Step 6: Final answer
    x = 111,813.20

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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.