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Finding the Fourth Proportional to 106,940.81, 147,611.22 and 61,649.09

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Solution

The fourth proportional to 106,940.81, 147,611.22 and 61,649.09 is: 85,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940.81 : 147,611.22 = 61,649.09 : x
  2. Step 2: Convert to fraction form
    106,940.81/147,611.22 = 61,649.09/x
  3. Step 3: Cross multiply
    106,940.81x = 147,611.22 × 61,649.09
  4. Step 4: Simplify right side
    106,940.81x = 9,100,097,386.79
  5. Step 5: Solve for x
    x = 9,100,097,386.79/106,940.81
  6. Step 6: Final answer
    x = 85,094.71

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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.