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Finding the Fourth Proportional to 136,429, 188,264.70 and 75,173.29

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Solution

The fourth proportional to 136,429, 188,264.70 and 75,173.29 is: 103,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,429 : 188,264.70 = 75,173.29 : x
  2. Step 2: Convert to fraction form
    136,429/188,264.70 = 75,173.29/x
  3. Step 3: Cross multiply
    136,429x = 188,264.70 × 75,173.29
  4. Step 4: Simplify right side
    136,429x = 14,152,476,889.86
  5. Step 5: Solve for x
    x = 14,152,476,889.86/136,429
  6. Step 6: Final answer
    x = 103,735.11

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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.