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Finding the Fourth Proportional to 135,446.22, 186,905.61 and 78,044.76

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Solution

The fourth proportional to 135,446.22, 186,905.61 and 78,044.76 is: 107,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,446.22 : 186,905.61 = 78,044.76 : x
  2. Step 2: Convert to fraction form
    135,446.22/186,905.61 = 78,044.76/x
  3. Step 3: Cross multiply
    135,446.22x = 186,905.61 × 78,044.76
  4. Step 4: Simplify right side
    135,446.22x = 14,587,003,475.10
  5. Step 5: Solve for x
    x = 14,587,003,475.10/135,446.22
  6. Step 6: Final answer
    x = 107,695.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.