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Finding the Fourth Proportional to 251,084.50, 346,412.28 and 142,174

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Solution

The fourth proportional to 251,084.50, 346,412.28 and 142,174 is: 196,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,084.50 : 346,412.28 = 142,174 : x
  2. Step 2: Convert to fraction form
    251,084.50/346,412.28 = 142,174/x
  3. Step 3: Cross multiply
    251,084.50x = 346,412.28 × 142,174
  4. Step 4: Simplify right side
    251,084.50x = 49,250,819,496.72
  5. Step 5: Solve for x
    x = 49,250,819,496.72/251,084.50
  6. Step 6: Final answer
    x = 196,152.37

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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.