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Finding the Fourth Proportional to 209,988.81, 289,809.15 and 119,358.39

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Solution

The fourth proportional to 209,988.81, 289,809.15 and 119,358.39 is: 164,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988.81 : 289,809.15 = 119,358.39 : x
  2. Step 2: Convert to fraction form
    209,988.81/289,809.15 = 119,358.39/x
  3. Step 3: Cross multiply
    209,988.81x = 289,809.15 × 119,358.39
  4. Step 4: Simplify right side
    209,988.81x = 34,591,153,551.27
  5. Step 5: Solve for x
    x = 34,591,153,551.27/209,988.81
  6. Step 6: Final answer
    x = 164,728.56

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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.