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Finding the Fourth Proportional to 209,591.51, 289,276.14 and 118,955.97

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Solution

The fourth proportional to 209,591.51, 289,276.14 and 118,955.97 is: 164,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,591.51 : 289,276.14 = 118,955.97 : x
  2. Step 2: Convert to fraction form
    209,591.51/289,276.14 = 118,955.97/x
  3. Step 3: Cross multiply
    209,591.51x = 289,276.14 × 118,955.97
  4. Step 4: Simplify right side
    209,591.51x = 34,411,123,831.56
  5. Step 5: Solve for x
    x = 34,411,123,831.56/209,591.51
  6. Step 6: Final answer
    x = 164,181.86

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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.