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Finding the Fourth Proportional to 188,889.49, 260,672.16 and 102,853.18

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Solution

The fourth proportional to 188,889.49, 260,672.16 and 102,853.18 is: 141,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889.49 : 260,672.16 = 102,853.18 : x
  2. Step 2: Convert to fraction form
    188,889.49/260,672.16 = 102,853.18/x
  3. Step 3: Cross multiply
    188,889.49x = 260,672.16 × 102,853.18
  4. Step 4: Simplify right side
    188,889.49x = 26,810,961,305.01
  5. Step 5: Solve for x
    x = 26,810,961,305.01/188,889.49
  6. Step 6: Final answer
    x = 141,939.93

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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.