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Finding the Fourth Proportional to 211,139.46, 291,291.39 and 120,500.46

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Solution

The fourth proportional to 211,139.46, 291,291.39 and 120,500.46 is: 166,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,139.46 : 291,291.39 = 120,500.46 : x
  2. Step 2: Convert to fraction form
    211,139.46/291,291.39 = 120,500.46/x
  3. Step 3: Cross multiply
    211,139.46x = 291,291.39 × 120,500.46
  4. Step 4: Simplify right side
    211,139.46x = 35,100,746,489.04
  5. Step 5: Solve for x
    x = 35,100,746,489.04/211,139.46
  6. Step 6: Final answer
    x = 166,244.37

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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.