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Finding the Fourth Proportional to 208,511.68, 287,739.12 and 123,578.32

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Solution

The fourth proportional to 208,511.68, 287,739.12 and 123,578.32 is: 170,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,511.68 : 287,739.12 = 123,578.32 : x
  2. Step 2: Convert to fraction form
    208,511.68/287,739.12 = 123,578.32/x
  3. Step 3: Cross multiply
    208,511.68x = 287,739.12 × 123,578.32
  4. Step 4: Simplify right side
    208,511.68x = 35,558,317,047.88
  5. Step 5: Solve for x
    x = 35,558,317,047.88/208,511.68
  6. Step 6: Final answer
    x = 170,533.93

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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.