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Finding the Fourth Proportional to 208,691.40, 287,994.11 and 118,045.41

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Solution

The fourth proportional to 208,691.40, 287,994.11 and 118,045.41 is: 162,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,691.40 : 287,994.11 = 118,045.41 : x
  2. Step 2: Convert to fraction form
    208,691.40/287,994.11 = 118,045.41/x
  3. Step 3: Cross multiply
    208,691.40x = 287,994.11 × 118,045.41
  4. Step 4: Simplify right side
    208,691.40x = 33,996,382,202.31
  5. Step 5: Solve for x
    x = 33,996,382,202.31/208,691.40
  6. Step 6: Final answer
    x = 162,902.65

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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.