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Finding the Fourth Proportional to 188,730.30, 260,456.38 and 117,133.38

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Solution

The fourth proportional to 188,730.30, 260,456.38 and 117,133.38 is: 161,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,730.30 : 260,456.38 = 117,133.38 : x
  2. Step 2: Convert to fraction form
    188,730.30/260,456.38 = 117,133.38/x
  3. Step 3: Cross multiply
    188,730.30x = 260,456.38 × 117,133.38
  4. Step 4: Simplify right side
    188,730.30x = 30,508,136,131.96
  5. Step 5: Solve for x
    x = 30,508,136,131.96/188,730.30
  6. Step 6: Final answer
    x = 161,649.38

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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.