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Finding the Fourth Proportional to 136,719.19, 188,644.31 and 78,564.68

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Solution

The fourth proportional to 136,719.19, 188,644.31 and 78,564.68 is: 108,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,719.19 : 188,644.31 = 78,564.68 : x
  2. Step 2: Convert to fraction form
    136,719.19/188,644.31 = 78,564.68/x
  3. Step 3: Cross multiply
    136,719.19x = 188,644.31 × 78,564.68
  4. Step 4: Simplify right side
    136,719.19x = 14,820,780,576.08
  5. Step 5: Solve for x
    x = 14,820,780,576.08/136,719.19
  6. Step 6: Final answer
    x = 108,403.07

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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.