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Finding the Fourth Proportional to 208,417.82, 287,612.81 and 117,771.86

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Solution

The fourth proportional to 208,417.82, 287,612.81 and 117,771.86 is: 162,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,417.82 : 287,612.81 = 117,771.86 : x
  2. Step 2: Convert to fraction form
    208,417.82/287,612.81 = 117,771.86/x
  3. Step 3: Cross multiply
    208,417.82x = 287,612.81 × 117,771.86
  4. Step 4: Simplify right side
    208,417.82x = 33,872,695,593.53
  5. Step 5: Solve for x
    x = 33,872,695,593.53/208,417.82
  6. Step 6: Final answer
    x = 162,523.03

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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.