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Finding the Fourth Proportional to 192,905.84, 289,008.83 and 142,429.88

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Solution

The fourth proportional to 192,905.84, 289,008.83 and 142,429.88 is: 213,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,905.84 : 289,008.83 = 142,429.88 : x
  2. Step 2: Convert to fraction form
    192,905.84/289,008.83 = 142,429.88/x
  3. Step 3: Cross multiply
    192,905.84x = 289,008.83 × 142,429.88
  4. Step 4: Simplify right side
    192,905.84x = 41,163,490,818.65
  5. Step 5: Solve for x
    x = 41,163,490,818.65/192,905.84
  6. Step 6: Final answer
    x = 213,386.45

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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.