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Finding the Fourth Proportional to 149,770.95, 206,666.91 and 86,129.25

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Solution

The fourth proportional to 149,770.95, 206,666.91 and 86,129.25 is: 118,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,770.95 : 206,666.91 = 86,129.25 : x
  2. Step 2: Convert to fraction form
    149,770.95/206,666.91 = 86,129.25/x
  3. Step 3: Cross multiply
    149,770.95x = 206,666.91 × 86,129.25
  4. Step 4: Simplify right side
    149,770.95x = 17,800,065,958.12
  5. Step 5: Solve for x
    x = 17,800,065,958.12/149,770.95
  6. Step 6: Final answer
    x = 118,848.59

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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.