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Finding the Fourth Proportional to 118,709.82, 177,719.94 and 83,127.06

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Solution

The fourth proportional to 118,709.82, 177,719.94 and 83,127.06 is: 124,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709.82 : 177,719.94 = 83,127.06 : x
  2. Step 2: Convert to fraction form
    118,709.82/177,719.94 = 83,127.06/x
  3. Step 3: Cross multiply
    118,709.82x = 177,719.94 × 83,127.06
  4. Step 4: Simplify right side
    118,709.82x = 14,773,336,115.58
  5. Step 5: Solve for x
    x = 14,773,336,115.58/118,709.82
  6. Step 6: Final answer
    x = 124,449.15

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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.