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Finding the Fourth Proportional to 106,523.78, 147,056.06 and 66,250.53

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Solution

The fourth proportional to 106,523.78, 147,056.06 and 66,250.53 is: 91,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,523.78 : 147,056.06 = 66,250.53 : x
  2. Step 2: Convert to fraction form
    106,523.78/147,056.06 = 66,250.53/x
  3. Step 3: Cross multiply
    106,523.78x = 147,056.06 × 66,250.53
  4. Step 4: Simplify right side
    106,523.78x = 9,742,542,121.27
  5. Step 5: Solve for x
    x = 9,742,542,121.27/106,523.78
  6. Step 6: Final answer
    x = 91,458.84

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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.