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Finding the Fourth Proportional to 250,102.53, 345,174.36 and 142,647.93

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Solution

The fourth proportional to 250,102.53, 345,174.36 and 142,647.93 is: 196,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,102.53 : 345,174.36 = 142,647.93 : x
  2. Step 2: Convert to fraction form
    250,102.53/345,174.36 = 142,647.93/x
  3. Step 3: Cross multiply
    250,102.53x = 345,174.36 × 142,647.93
  4. Step 4: Simplify right side
    250,102.53x = 49,238,407,943.07
  5. Step 5: Solve for x
    x = 49,238,407,943.07/250,102.53
  6. Step 6: Final answer
    x = 196,872.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.