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Finding the Fourth Proportional to 143,786.84, 198,425.54 and 83,392.42

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Solution

The fourth proportional to 143,786.84, 198,425.54 and 83,392.42 is: 115,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,786.84 : 198,425.54 = 83,392.42 : x
  2. Step 2: Convert to fraction form
    143,786.84/198,425.54 = 83,392.42/x
  3. Step 3: Cross multiply
    143,786.84x = 198,425.54 × 83,392.42
  4. Step 4: Simplify right side
    143,786.84x = 16,547,185,970.41
  5. Step 5: Solve for x
    x = 16,547,185,970.41/143,786.84
  6. Step 6: Final answer
    x = 115,081.37

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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.