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Finding the Fourth Proportional to 136,431, 188,267.46 and 75,175.29

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Solution

The fourth proportional to 136,431, 188,267.46 and 75,175.29 is: 103,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,431 : 188,267.46 = 75,175.29 : x
  2. Step 2: Convert to fraction form
    136,431/188,267.46 = 75,175.29/x
  3. Step 3: Cross multiply
    136,431x = 188,267.46 × 75,175.29
  4. Step 4: Simplify right side
    136,431x = 14,153,060,903.06
  5. Step 5: Solve for x
    x = 14,153,060,903.06/136,431
  6. Step 6: Final answer
    x = 103,737.87

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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.