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Finding the Fourth Proportional to 142,938, 214,407 and 97,914.96

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Solution

The fourth proportional to 142,938, 214,407 and 97,914.96 is: 146,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938 : 214,407 = 97,914.96 : x
  2. Step 2: Convert to fraction form
    142,938/214,407 = 97,914.96/x
  3. Step 3: Cross multiply
    142,938x = 214,407 × 97,914.96
  4. Step 4: Simplify right side
    142,938x = 20,993,652,828.72
  5. Step 5: Solve for x
    x = 20,993,652,828.72/142,938
  6. Step 6: Final answer
    x = 146,872.44

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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.