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Finding the Fourth Proportional to 208,565.35, 287,667.24 and 136,919.23

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Solution

The fourth proportional to 208,565.35, 287,667.24 and 136,919.23 is: 188,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.35 : 287,667.24 = 136,919.23 : x
  2. Step 2: Convert to fraction form
    208,565.35/287,667.24 = 136,919.23/x
  3. Step 3: Cross multiply
    208,565.35x = 287,667.24 × 136,919.23
  4. Step 4: Simplify right side
    208,565.35x = 39,387,176,997.03
  5. Step 5: Solve for x
    x = 39,387,176,997.03/208,565.35
  6. Step 6: Final answer
    x = 188,848.13

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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.