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Finding the Fourth Proportional to 208,996.77, 288,535.10 and 137,584.39

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Solution

The fourth proportional to 208,996.77, 288,535.10 and 137,584.39 is: 189,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,996.77 : 288,535.10 = 137,584.39 : x
  2. Step 2: Convert to fraction form
    208,996.77/288,535.10 = 137,584.39/x
  3. Step 3: Cross multiply
    208,996.77x = 288,535.10 × 137,584.39
  4. Step 4: Simplify right side
    208,996.77x = 39,697,924,317.83
  5. Step 5: Solve for x
    x = 39,697,924,317.83/208,996.77
  6. Step 6: Final answer
    x = 189,945.16

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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.