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Finding the Fourth Proportional to 101,457.60, 151,453.20 and 89,016

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Solution

The fourth proportional to 101,457.60, 151,453.20 and 89,016 is: 132,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457.60 : 151,453.20 = 89,016 : x
  2. Step 2: Convert to fraction form
    101,457.60/151,453.20 = 89,016/x
  3. Step 3: Cross multiply
    101,457.60x = 151,453.20 × 89,016
  4. Step 4: Simplify right side
    101,457.60x = 13,481,758,051.20
  5. Step 5: Solve for x
    x = 13,481,758,051.20/101,457.60
  6. Step 6: Final answer
    x = 132,880.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.