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Finding the Fourth Proportional to 217,283.25, 299,851.55 and 120,493.92

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Solution

The fourth proportional to 217,283.25, 299,851.55 and 120,493.92 is: 166,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,283.25 : 299,851.55 = 120,493.92 : x
  2. Step 2: Convert to fraction form
    217,283.25/299,851.55 = 120,493.92/x
  3. Step 3: Cross multiply
    217,283.25x = 299,851.55 × 120,493.92
  4. Step 4: Simplify right side
    217,283.25x = 36,130,287,176.59
  5. Step 5: Solve for x
    x = 36,130,287,176.59/217,283.25
  6. Step 6: Final answer
    x = 166,281.97

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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.