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Finding the Fourth Proportional to 149,689.52, 206,566.40 and 89,228.98

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Solution

The fourth proportional to 149,689.52, 206,566.40 and 89,228.98 is: 123,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.52 : 206,566.40 = 89,228.98 : x
  2. Step 2: Convert to fraction form
    149,689.52/206,566.40 = 89,228.98/x
  3. Step 3: Cross multiply
    149,689.52x = 206,566.40 × 89,228.98
  4. Step 4: Simplify right side
    149,689.52x = 18,431,709,174.27
  5. Step 5: Solve for x
    x = 18,431,709,174.27/149,689.52
  6. Step 6: Final answer
    x = 123,132.93

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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.