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Finding the Fourth Proportional to 178,198.68, 245,621.34 and 142,325.40

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Solution

The fourth proportional to 178,198.68, 245,621.34 and 142,325.40 is: 196,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.68 : 245,621.34 = 142,325.40 : x
  2. Step 2: Convert to fraction form
    178,198.68/245,621.34 = 142,325.40/x
  3. Step 3: Cross multiply
    178,198.68x = 245,621.34 × 142,325.40
  4. Step 4: Simplify right side
    178,198.68x = 34,958,155,464.04
  5. Step 5: Solve for x
    x = 34,958,155,464.04/178,198.68
  6. Step 6: Final answer
    x = 196,175.17

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1.5x scale

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.