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Finding the Fourth Proportional to 149,354.88, 206,065.80 and 88,895.14

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Solution

The fourth proportional to 149,354.88, 206,065.80 and 88,895.14 is: 122,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,354.88 : 206,065.80 = 88,895.14 : x
  2. Step 2: Convert to fraction form
    149,354.88/206,065.80 = 88,895.14/x
  3. Step 3: Cross multiply
    149,354.88x = 206,065.80 × 88,895.14
  4. Step 4: Simplify right side
    149,354.88x = 18,318,248,140.21
  5. Step 5: Solve for x
    x = 18,318,248,140.21/149,354.88
  6. Step 6: Final answer
    x = 122,649.14

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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.