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Finding the Fourth Proportional to 136,889.68, 188,905.75 and 76,461.17

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Solution

The fourth proportional to 136,889.68, 188,905.75 and 76,461.17 is: 105,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,889.68 : 188,905.75 = 76,461.17 : x
  2. Step 2: Convert to fraction form
    136,889.68/188,905.75 = 76,461.17/x
  3. Step 3: Cross multiply
    136,889.68x = 188,905.75 × 76,461.17
  4. Step 4: Simplify right side
    136,889.68x = 14,443,954,664.73
  5. Step 5: Solve for x
    x = 14,443,954,664.73/136,889.68
  6. Step 6: Final answer
    x = 105,515.29

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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.