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Finding the Fourth Proportional to 164,851.50, 227,495.21 and 89,400

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Solution

The fourth proportional to 164,851.50, 227,495.21 and 89,400 is: 123,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,851.50 : 227,495.21 = 89,400 : x
  2. Step 2: Convert to fraction form
    164,851.50/227,495.21 = 89,400/x
  3. Step 3: Cross multiply
    164,851.50x = 227,495.21 × 89,400
  4. Step 4: Simplify right side
    164,851.50x = 20,338,071,327
  5. Step 5: Solve for x
    x = 20,338,071,327/164,851.50
  6. Step 6: Final answer
    x = 123,372.07

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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.