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Finding the Fourth Proportional to 136,100.66, 187,824.12 and 75,678.40

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Solution

The fourth proportional to 136,100.66, 187,824.12 and 75,678.40 is: 104,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100.66 : 187,824.12 = 75,678.40 : x
  2. Step 2: Convert to fraction form
    136,100.66/187,824.12 = 75,678.40/x
  3. Step 3: Cross multiply
    136,100.66x = 187,824.12 × 75,678.40
  4. Step 4: Simplify right side
    136,100.66x = 14,214,228,833.99
  5. Step 5: Solve for x
    x = 14,214,228,833.99/136,100.66
  6. Step 6: Final answer
    x = 104,439.09

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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.