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Finding the Fourth Proportional to 217,242.98, 299,813.06 and 120,477.14

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Solution

The fourth proportional to 217,242.98, 299,813.06 and 120,477.14 is: 166,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,242.98 : 299,813.06 = 120,477.14 : x
  2. Step 2: Convert to fraction form
    217,242.98/299,813.06 = 120,477.14/x
  3. Step 3: Cross multiply
    217,242.98x = 299,813.06 × 120,477.14
  4. Step 4: Simplify right side
    217,242.98x = 36,120,620,003.45
  5. Step 5: Solve for x
    x = 36,120,620,003.45/217,242.98
  6. Step 6: Final answer
    x = 166,268.30

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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.