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Finding the Fourth Proportional to 188,471.54, 260,092.75 and 102,430.52

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Solution

The fourth proportional to 188,471.54, 260,092.75 and 102,430.52 is: 141,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,471.54 : 260,092.75 = 102,430.52 : x
  2. Step 2: Convert to fraction form
    188,471.54/260,092.75 = 102,430.52/x
  3. Step 3: Cross multiply
    188,471.54x = 260,092.75 × 102,430.52
  4. Step 4: Simplify right side
    188,471.54x = 26,641,436,416.53
  5. Step 5: Solve for x
    x = 26,641,436,416.53/188,471.54
  6. Step 6: Final answer
    x = 141,355.22

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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.