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Finding the Fourth Proportional to 208,955.25, 288,358.25 and 119,531.25

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Solution

The fourth proportional to 208,955.25, 288,358.25 and 119,531.25 is: 164,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,955.25 : 288,358.25 = 119,531.25 : x
  2. Step 2: Convert to fraction form
    208,955.25/288,358.25 = 119,531.25/x
  3. Step 3: Cross multiply
    208,955.25x = 288,358.25 × 119,531.25
  4. Step 4: Simplify right side
    208,955.25x = 34,467,821,472.66
  5. Step 5: Solve for x
    x = 34,467,821,472.66/208,955.25
  6. Step 6: Final answer
    x = 164,953.13

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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.