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Finding the Fourth Proportional to 142,894.71, 197,185.14 and 82,467.90

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Solution

The fourth proportional to 142,894.71, 197,185.14 and 82,467.90 is: 113,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,894.71 : 197,185.14 = 82,467.90 : x
  2. Step 2: Convert to fraction form
    142,894.71/197,185.14 = 82,467.90/x
  3. Step 3: Cross multiply
    142,894.71x = 197,185.14 × 82,467.90
  4. Step 4: Simplify right side
    142,894.71x = 16,261,444,407.01
  5. Step 5: Solve for x
    x = 16,261,444,407.01/142,894.71
  6. Step 6: Final answer
    x = 113,800.18

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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.