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Finding the Fourth Proportional to 203,330.98, 305,006.19 and 98,238.34

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Solution

The fourth proportional to 203,330.98, 305,006.19 and 98,238.34 is: 147,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,330.98 : 305,006.19 = 98,238.34 : x
  2. Step 2: Convert to fraction form
    203,330.98/305,006.19 = 98,238.34/x
  3. Step 3: Cross multiply
    203,330.98x = 305,006.19 × 98,238.34
  4. Step 4: Simplify right side
    203,330.98x = 29,963,301,795.32
  5. Step 5: Solve for x
    x = 29,963,301,795.32/203,330.98
  6. Step 6: Final answer
    x = 147,362.21

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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.