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Finding the Fourth Proportional to 71,385.30, 106,975.35 and 40,154.58

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Solution

The fourth proportional to 71,385.30, 106,975.35 and 40,154.58 is: 60,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.30 : 106,975.35 = 40,154.58 : x
  2. Step 2: Convert to fraction form
    71,385.30/106,975.35 = 40,154.58/x
  3. Step 3: Cross multiply
    71,385.30x = 106,975.35 × 40,154.58
  4. Step 4: Simplify right side
    71,385.30x = 4,295,550,249.60
  5. Step 5: Solve for x
    x = 4,295,550,249.60/71,385.30
  6. Step 6: Final answer
    x = 60,174.16

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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.