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Finding the Fourth Proportional to 203,259.76, 305,077.02 and 103,491.88

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Solution

The fourth proportional to 203,259.76, 305,077.02 and 103,491.88 is: 155,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,259.76 : 305,077.02 = 103,491.88 : x
  2. Step 2: Convert to fraction form
    203,259.76/305,077.02 = 103,491.88/x
  3. Step 3: Cross multiply
    203,259.76x = 305,077.02 × 103,491.88
  4. Step 4: Simplify right side
    203,259.76x = 31,572,994,344.60
  5. Step 5: Solve for x
    x = 31,572,994,344.60/203,259.76
  6. Step 6: Final answer
    x = 155,333.23

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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.