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Finding the Fourth Proportional to 149,596, 206,437.74 and 85,072.25

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Solution

The fourth proportional to 149,596, 206,437.74 and 85,072.25 is: 117,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596 : 206,437.74 = 85,072.25 : x
  2. Step 2: Convert to fraction form
    149,596/206,437.74 = 85,072.25/x
  3. Step 3: Cross multiply
    149,596x = 206,437.74 × 85,072.25
  4. Step 4: Simplify right side
    149,596x = 17,562,123,026.72
  5. Step 5: Solve for x
    x = 17,562,123,026.72/149,596
  6. Step 6: Final answer
    x = 117,397.01

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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.