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Finding the Fourth Proportional to 149,043.86, 205,709.73 and 85,424.30

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Solution

The fourth proportional to 149,043.86, 205,709.73 and 85,424.30 is: 117,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,043.86 : 205,709.73 = 85,424.30 : x
  2. Step 2: Convert to fraction form
    149,043.86/205,709.73 = 85,424.30/x
  3. Step 3: Cross multiply
    149,043.86x = 205,709.73 × 85,424.30
  4. Step 4: Simplify right side
    149,043.86x = 17,572,609,688.44
  5. Step 5: Solve for x
    x = 17,572,609,688.44/149,043.86
  6. Step 6: Final answer
    x = 117,902.27

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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.