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Finding the Fourth Proportional to 208,590.28, 287,773.18 and 136,078.42

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Solution

The fourth proportional to 208,590.28, 287,773.18 and 136,078.42 is: 187,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.28 : 287,773.18 = 136,078.42 : x
  2. Step 2: Convert to fraction form
    208,590.28/287,773.18 = 136,078.42/x
  3. Step 3: Cross multiply
    208,590.28x = 287,773.18 × 136,078.42
  4. Step 4: Simplify right side
    208,590.28x = 39,159,719,652.78
  5. Step 5: Solve for x
    x = 39,159,719,652.78/208,590.28
  6. Step 6: Final answer
    x = 187,735.11

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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.