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Finding the Fourth Proportional to 142,574, 196,803.96 and 82,958

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Solution

The fourth proportional to 142,574, 196,803.96 and 82,958 is: 114,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574 : 196,803.96 = 82,958 : x
  2. Step 2: Convert to fraction form
    142,574/196,803.96 = 82,958/x
  3. Step 3: Cross multiply
    142,574x = 196,803.96 × 82,958
  4. Step 4: Simplify right side
    142,574x = 16,326,462,913.68
  5. Step 5: Solve for x
    x = 16,326,462,913.68/142,574
  6. Step 6: Final answer
    x = 114,512.20

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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.