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Finding the Fourth Proportional to 188,702.86, 260,412 and 102,662.33

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Solution

The fourth proportional to 188,702.86, 260,412 and 102,662.33 is: 141,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.86 : 260,412 = 102,662.33 : x
  2. Step 2: Convert to fraction form
    188,702.86/260,412 = 102,662.33/x
  3. Step 3: Cross multiply
    188,702.86x = 260,412 × 102,662.33
  4. Step 4: Simplify right side
    188,702.86x = 26,734,501,377.90
  5. Step 5: Solve for x
    x = 26,734,501,377.90/188,702.86
  6. Step 6: Final answer
    x = 141,675.13

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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.