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Finding the Fourth Proportional to 211,458.56, 291,785.91 and 120,820.40

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Solution

The fourth proportional to 211,458.56, 291,785.91 and 120,820.40 is: 166,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458.56 : 291,785.91 = 120,820.40 : x
  2. Step 2: Convert to fraction form
    211,458.56/291,785.91 = 120,820.40/x
  3. Step 3: Cross multiply
    211,458.56x = 291,785.91 × 120,820.40
  4. Step 4: Simplify right side
    211,458.56x = 35,253,688,901.63
  5. Step 5: Solve for x
    x = 35,253,688,901.63/211,458.56
  6. Step 6: Final answer
    x = 166,716.77

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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.