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Finding the Fourth Proportional to 208,495.68, 287,717.04 and 123,562.32

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Solution

The fourth proportional to 208,495.68, 287,717.04 and 123,562.32 is: 170,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,495.68 : 287,717.04 = 123,562.32 : x
  2. Step 2: Convert to fraction form
    208,495.68/287,717.04 = 123,562.32/x
  3. Step 3: Cross multiply
    208,495.68x = 287,717.04 × 123,562.32
  4. Step 4: Simplify right side
    208,495.68x = 35,550,984,965.93
  5. Step 5: Solve for x
    x = 35,550,984,965.93/208,495.68
  6. Step 6: Final answer
    x = 170,511.85

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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.