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Finding the Fourth Proportional to 203,765.20, 305,647.80 and 127,985.65

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Solution

The fourth proportional to 203,765.20, 305,647.80 and 127,985.65 is: 191,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,765.20 : 305,647.80 = 127,985.65 : x
  2. Step 2: Convert to fraction form
    203,765.20/305,647.80 = 127,985.65/x
  3. Step 3: Cross multiply
    203,765.20x = 305,647.80 × 127,985.65
  4. Step 4: Simplify right side
    203,765.20x = 39,118,532,354.07
  5. Step 5: Solve for x
    x = 39,118,532,354.07/203,765.20
  6. Step 6: Final answer
    x = 191,978.48

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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.