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Finding the Fourth Proportional to 208,035.76, 287,097.49 and 121,982.78

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Solution

The fourth proportional to 208,035.76, 287,097.49 and 121,982.78 is: 168,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035.76 : 287,097.49 = 121,982.78 : x
  2. Step 2: Convert to fraction form
    208,035.76/287,097.49 = 121,982.78/x
  3. Step 3: Cross multiply
    208,035.76x = 287,097.49 × 121,982.78
  4. Step 4: Simplify right side
    208,035.76x = 35,020,948,873.44
  5. Step 5: Solve for x
    x = 35,020,948,873.44/208,035.76
  6. Step 6: Final answer
    x = 168,341.01

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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.