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Finding the Fourth Proportional to 216,422.63, 298,657.50 and 120,930.11

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Solution

The fourth proportional to 216,422.63, 298,657.50 and 120,930.11 is: 166,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422.63 : 298,657.50 = 120,930.11 : x
  2. Step 2: Convert to fraction form
    216,422.63/298,657.50 = 120,930.11/x
  3. Step 3: Cross multiply
    216,422.63x = 298,657.50 × 120,930.11
  4. Step 4: Simplify right side
    216,422.63x = 36,116,684,327.33
  5. Step 5: Solve for x
    x = 36,116,684,327.33/216,422.63
  6. Step 6: Final answer
    x = 166,880.35

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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.