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Finding the Fourth Proportional to 208,419.26, 287,512.88 and 131,809.32

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Solution

The fourth proportional to 208,419.26, 287,512.88 and 131,809.32 is: 181,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,419.26 : 287,512.88 = 131,809.32 : x
  2. Step 2: Convert to fraction form
    208,419.26/287,512.88 = 131,809.32/x
  3. Step 3: Cross multiply
    208,419.26x = 287,512.88 × 131,809.32
  4. Step 4: Simplify right side
    208,419.26x = 37,896,876,545.00
  5. Step 5: Solve for x
    x = 37,896,876,545.00/208,419.26
  6. Step 6: Final answer
    x = 181,830.02

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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.