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Finding the Fourth Proportional to 149,969, 225,064.80 and 71,083.40

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Solution

The fourth proportional to 149,969, 225,064.80 and 71,083.40 is: 106,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,969 : 225,064.80 = 71,083.40 : x
  2. Step 2: Convert to fraction form
    149,969/225,064.80 = 71,083.40/x
  3. Step 3: Cross multiply
    149,969x = 225,064.80 × 71,083.40
  4. Step 4: Simplify right side
    149,969x = 15,998,371,204.32
  5. Step 5: Solve for x
    x = 15,998,371,204.32/149,969
  6. Step 6: Final answer
    x = 106,677.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.