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Finding the Fourth Proportional to 208,589.35, 287,851.57 and 117,963.11

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Solution

The fourth proportional to 208,589.35, 287,851.57 and 117,963.11 is: 162,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.35 : 287,851.57 = 117,963.11 : x
  2. Step 2: Convert to fraction form
    208,589.35/287,851.57 = 117,963.11/x
  3. Step 3: Cross multiply
    208,589.35x = 287,851.57 × 117,963.11
  4. Step 4: Simplify right side
    208,589.35x = 33,955,864,681.42
  5. Step 5: Solve for x
    x = 33,955,864,681.42/208,589.35
  6. Step 6: Final answer
    x = 162,788.11

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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.