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Finding the Fourth Proportional to 142,966, 214,449 and 97,942.96

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Solution

The fourth proportional to 142,966, 214,449 and 97,942.96 is: 146,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,966 : 214,449 = 97,942.96 : x
  2. Step 2: Convert to fraction form
    142,966/214,449 = 97,942.96/x
  3. Step 3: Cross multiply
    142,966x = 214,449 × 97,942.96
  4. Step 4: Simplify right side
    142,966x = 21,003,769,829.04
  5. Step 5: Solve for x
    x = 21,003,769,829.04/142,966
  6. Step 6: Final answer
    x = 146,914.44

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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.