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Finding the Fourth Proportional to 149,157.42, 205,846.43 and 85,504.79

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Solution

The fourth proportional to 149,157.42, 205,846.43 and 85,504.79 is: 118,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,157.42 : 205,846.43 = 85,504.79 : x
  2. Step 2: Convert to fraction form
    149,157.42/205,846.43 = 85,504.79/x
  3. Step 3: Cross multiply
    149,157.42x = 205,846.43 × 85,504.79
  4. Step 4: Simplify right side
    149,157.42x = 17,600,854,312.64
  5. Step 5: Solve for x
    x = 17,600,854,312.64/149,157.42
  6. Step 6: Final answer
    x = 118,001.87

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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.