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Finding the Fourth Proportional to 71,178.44, 106,765.58 and 18,587.93

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Solution

The fourth proportional to 71,178.44, 106,765.58 and 18,587.93 is: 27,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.44 : 106,765.58 = 18,587.93 : x
  2. Step 2: Convert to fraction form
    71,178.44/106,765.58 = 18,587.93/x
  3. Step 3: Cross multiply
    71,178.44x = 106,765.58 × 18,587.93
  4. Step 4: Simplify right side
    71,178.44x = 1,984,550,500.68
  5. Step 5: Solve for x
    x = 1,984,550,500.68/71,178.44
  6. Step 6: Final answer
    x = 27,881.34

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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.