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Finding the Fourth Proportional to 203,686.60, 305,120.94 and 103,842.76

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Solution

The fourth proportional to 203,686.60, 305,120.94 and 103,842.76 is: 155,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,686.60 : 305,120.94 = 103,842.76 : x
  2. Step 2: Convert to fraction form
    203,686.60/305,120.94 = 103,842.76/x
  3. Step 3: Cross multiply
    203,686.60x = 305,120.94 × 103,842.76
  4. Step 4: Simplify right side
    203,686.60x = 31,684,600,543.39
  5. Step 5: Solve for x
    x = 31,684,600,543.39/203,686.60
  6. Step 6: Final answer
    x = 155,555.65

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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.