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Finding the Fourth Proportional to 208,770, 288,103.40 and 113,277.48

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Solution

The fourth proportional to 208,770, 288,103.40 and 113,277.48 is: 156,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770 : 288,103.40 = 113,277.48 : x
  2. Step 2: Convert to fraction form
    208,770/288,103.40 = 113,277.48/x
  3. Step 3: Cross multiply
    208,770x = 288,103.40 × 113,277.48
  4. Step 4: Simplify right side
    208,770x = 32,635,627,131.43
  5. Step 5: Solve for x
    x = 32,635,627,131.43/208,770
  6. Step 6: Final answer
    x = 156,323.36

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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.