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Finding the Fourth Proportional to 149,888.34, 206,749.17 and 89,412.30

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Solution

The fourth proportional to 149,888.34, 206,749.17 and 89,412.30 is: 123,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888.34 : 206,749.17 = 89,412.30 : x
  2. Step 2: Convert to fraction form
    149,888.34/206,749.17 = 89,412.30/x
  3. Step 3: Cross multiply
    149,888.34x = 206,749.17 × 89,412.30
  4. Step 4: Simplify right side
    149,888.34x = 18,485,918,812.79
  5. Step 5: Solve for x
    x = 18,485,918,812.79/149,888.34
  6. Step 6: Final answer
    x = 123,331.27

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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.