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Finding the Fourth Proportional to 149,207.36, 205,893.60 and 85,530.56

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Solution

The fourth proportional to 149,207.36, 205,893.60 and 85,530.56 is: 118,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,207.36 : 205,893.60 = 85,530.56 : x
  2. Step 2: Convert to fraction form
    149,207.36/205,893.60 = 85,530.56/x
  3. Step 3: Cross multiply
    149,207.36x = 205,893.60 × 85,530.56
  4. Step 4: Simplify right side
    149,207.36x = 17,610,194,908.42
  5. Step 5: Solve for x
    x = 17,610,194,908.42/149,207.36
  6. Step 6: Final answer
    x = 118,024.97

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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.