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Finding the Fourth Proportional to 208,656, 287,945.28 and 119,232

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Solution

The fourth proportional to 208,656, 287,945.28 and 119,232 is: 164,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656 : 287,945.28 = 119,232 : x
  2. Step 2: Convert to fraction form
    208,656/287,945.28 = 119,232/x
  3. Step 3: Cross multiply
    208,656x = 287,945.28 × 119,232
  4. Step 4: Simplify right side
    208,656x = 34,332,291,624.96
  5. Step 5: Solve for x
    x = 34,332,291,624.96/208,656
  6. Step 6: Final answer
    x = 164,540.16

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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.