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Finding the Fourth Proportional to 208,798.25, 288,265.33 and 137,301.57

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Solution

The fourth proportional to 208,798.25, 288,265.33 and 137,301.57 is: 189,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.25 : 288,265.33 = 137,301.57 : x
  2. Step 2: Convert to fraction form
    208,798.25/288,265.33 = 137,301.57/x
  3. Step 3: Cross multiply
    208,798.25x = 288,265.33 × 137,301.57
  4. Step 4: Simplify right side
    208,798.25x = 39,579,282,557.20
  5. Step 5: Solve for x
    x = 39,579,282,557.20/208,798.25
  6. Step 6: Final answer
    x = 189,557.54

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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.