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Finding the Fourth Proportional to 208,499.68, 287,722.48 and 123,566.40

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Solution

The fourth proportional to 208,499.68, 287,722.48 and 123,566.40 is: 170,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,499.68 : 287,722.48 = 123,566.40 : x
  2. Step 2: Convert to fraction form
    208,499.68/287,722.48 = 123,566.40/x
  3. Step 3: Cross multiply
    208,499.68x = 287,722.48 × 123,566.40
  4. Step 4: Simplify right side
    208,499.68x = 35,552,831,052.67
  5. Step 5: Solve for x
    x = 35,552,831,052.67/208,499.68
  6. Step 6: Final answer
    x = 170,517.44

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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.