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Finding the Fourth Proportional to 188,959.68, 260,758.96 and 102,916.72

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Solution

The fourth proportional to 188,959.68, 260,758.96 and 102,916.72 is: 142,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,959.68 : 260,758.96 = 102,916.72 : x
  2. Step 2: Convert to fraction form
    188,959.68/260,758.96 = 102,916.72/x
  3. Step 3: Cross multiply
    188,959.68x = 260,758.96 × 102,916.72
  4. Step 4: Simplify right side
    188,959.68x = 26,836,456,873.81
  5. Step 5: Solve for x
    x = 26,836,456,873.81/188,959.68
  6. Step 6: Final answer
    x = 142,022.13

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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.