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Finding the Fourth Proportional to 203,428, 305,142 and 78,769

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Solution

The fourth proportional to 203,428, 305,142 and 78,769 is: 118,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428 : 305,142 = 78,769 : x
  2. Step 2: Convert to fraction form
    203,428/305,142 = 78,769/x
  3. Step 3: Cross multiply
    203,428x = 305,142 × 78,769
  4. Step 4: Simplify right side
    203,428x = 24,035,730,198
  5. Step 5: Solve for x
    x = 24,035,730,198/203,428
  6. Step 6: Final answer
    x = 118,153.50

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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.