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Finding the Fourth Proportional to 216,055.95, 298,157.11 and 120,563.22

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Solution

The fourth proportional to 216,055.95, 298,157.11 and 120,563.22 is: 166,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,055.95 : 298,157.11 = 120,563.22 : x
  2. Step 2: Convert to fraction form
    216,055.95/298,157.11 = 120,563.22/x
  3. Step 3: Cross multiply
    216,055.95x = 298,157.11 × 120,563.22
  4. Step 4: Simplify right side
    216,055.95x = 35,946,781,247.49
  5. Step 5: Solve for x
    x = 35,946,781,247.49/216,055.95
  6. Step 6: Final answer
    x = 166,377.19

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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.