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Finding the Fourth Proportional to 216,454.80, 298,706.76 and 120,961.47

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Solution

The fourth proportional to 216,454.80, 298,706.76 and 120,961.47 is: 166,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,454.80 : 298,706.76 = 120,961.47 : x
  2. Step 2: Convert to fraction form
    216,454.80/298,706.76 = 120,961.47/x
  3. Step 3: Cross multiply
    216,454.80x = 298,706.76 × 120,961.47
  4. Step 4: Simplify right side
    216,454.80x = 36,132,008,788.54
  5. Step 5: Solve for x
    x = 36,132,008,788.54/216,454.80
  6. Step 6: Final answer
    x = 166,926.35

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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.