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Finding the Fourth Proportional to 142,998, 214,357.56 and 68,098.14

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Solution

The fourth proportional to 142,998, 214,357.56 and 68,098.14 is: 102,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,998 : 214,357.56 = 68,098.14 : x
  2. Step 2: Convert to fraction form
    142,998/214,357.56 = 68,098.14/x
  3. Step 3: Cross multiply
    142,998x = 214,357.56 × 68,098.14
  4. Step 4: Simplify right side
    142,998x = 14,597,351,130.94
  5. Step 5: Solve for x
    x = 14,597,351,130.94/142,998
  6. Step 6: Final answer
    x = 102,080.81

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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.