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Finding the Fourth Proportional to 219,082.68, 302,144.82 and 142,574.24

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Solution

The fourth proportional to 219,082.68, 302,144.82 and 142,574.24 is: 196,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,082.68 : 302,144.82 = 142,574.24 : x
  2. Step 2: Convert to fraction form
    219,082.68/302,144.82 = 142,574.24/x
  3. Step 3: Cross multiply
    219,082.68x = 302,144.82 × 142,574.24
  4. Step 4: Simplify right side
    219,082.68x = 43,078,068,081.44
  5. Step 5: Solve for x
    x = 43,078,068,081.44/219,082.68
  6. Step 6: Final answer
    x = 196,629.27

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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.