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Finding the Fourth Proportional to 142,684, 196,903.50 and 82,254.31

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Solution

The fourth proportional to 142,684, 196,903.50 and 82,254.31 is: 113,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,684 : 196,903.50 = 82,254.31 : x
  2. Step 2: Convert to fraction form
    142,684/196,903.50 = 82,254.31/x
  3. Step 3: Cross multiply
    142,684x = 196,903.50 × 82,254.31
  4. Step 4: Simplify right side
    142,684x = 16,196,161,529.09
  5. Step 5: Solve for x
    x = 16,196,161,529.09/142,684
  6. Step 6: Final answer
    x = 113,510.71

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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.