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Finding the Fourth Proportional to 216,458.55, 298,712.01 and 120,965.22

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Solution

The fourth proportional to 216,458.55, 298,712.01 and 120,965.22 is: 166,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.55 : 298,712.01 = 120,965.22 : x
  2. Step 2: Convert to fraction form
    216,458.55/298,712.01 = 120,965.22/x
  3. Step 3: Cross multiply
    216,458.55x = 298,712.01 × 120,965.22
  4. Step 4: Simplify right side
    216,458.55x = 36,133,764,006.29
  5. Step 5: Solve for x
    x = 36,133,764,006.29/216,458.55
  6. Step 6: Final answer
    x = 166,931.56

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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.