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Finding the Fourth Proportional to 119,120.87, 164,392.17 and 71,373.20

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Solution

The fourth proportional to 119,120.87, 164,392.17 and 71,373.20 is: 98,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,120.87 : 164,392.17 = 71,373.20 : x
  2. Step 2: Convert to fraction form
    119,120.87/164,392.17 = 71,373.20/x
  3. Step 3: Cross multiply
    119,120.87x = 164,392.17 × 71,373.20
  4. Step 4: Simplify right side
    119,120.87x = 11,733,194,138.23
  5. Step 5: Solve for x
    x = 11,733,194,138.23/119,120.87
  6. Step 6: Final answer
    x = 98,498.22

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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.