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Finding the Fourth Proportional to 136,415.57, 188,243.81 and 75,159.09

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Solution

The fourth proportional to 136,415.57, 188,243.81 and 75,159.09 is: 103,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,415.57 : 188,243.81 = 75,159.09 : x
  2. Step 2: Convert to fraction form
    136,415.57/188,243.81 = 75,159.09/x
  3. Step 3: Cross multiply
    136,415.57x = 188,243.81 × 75,159.09
  4. Step 4: Simplify right side
    136,415.57x = 14,148,233,081.94
  5. Step 5: Solve for x
    x = 14,148,233,081.94/136,415.57
  6. Step 6: Final answer
    x = 103,714.21

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1.5x scale

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.