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Finding the Fourth Proportional to 142,586.51, 196,813.17 and 82,197.51

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Solution

The fourth proportional to 142,586.51, 196,813.17 and 82,197.51 is: 113,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,586.51 : 196,813.17 = 82,197.51 : x
  2. Step 2: Convert to fraction form
    142,586.51/196,813.17 = 82,197.51/x
  3. Step 3: Cross multiply
    142,586.51x = 196,813.17 × 82,197.51
  4. Step 4: Simplify right side
    142,586.51x = 16,177,552,509.21
  5. Step 5: Solve for x
    x = 16,177,552,509.21/142,586.51
  6. Step 6: Final answer
    x = 113,457.81

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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.