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Finding the Fourth Proportional to 188,471.81, 260,093.12 and 102,430.80

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Solution

The fourth proportional to 188,471.81, 260,093.12 and 102,430.80 is: 141,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,471.81 : 260,093.12 = 102,430.80 : x
  2. Step 2: Convert to fraction form
    188,471.81/260,093.12 = 102,430.80/x
  3. Step 3: Cross multiply
    188,471.81x = 260,093.12 × 102,430.80
  4. Step 4: Simplify right side
    188,471.81x = 26,641,545,843.94
  5. Step 5: Solve for x
    x = 26,641,545,843.94/188,471.81
  6. Step 6: Final answer
    x = 141,355.60

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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.