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Finding the Fourth Proportional to 208,686.96, 287,892.36 and 123,773.04

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Solution

The fourth proportional to 208,686.96, 287,892.36 and 123,773.04 is: 170,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,686.96 : 287,892.36 = 123,773.04 : x
  2. Step 2: Convert to fraction form
    208,686.96/287,892.36 = 123,773.04/x
  3. Step 3: Cross multiply
    208,686.96x = 287,892.36 × 123,773.04
  4. Step 4: Simplify right side
    208,686.96x = 35,633,312,589.97
  5. Step 5: Solve for x
    x = 35,633,312,589.97/208,686.96
  6. Step 6: Final answer
    x = 170,750.07

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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.