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Finding the Fourth Proportional to 211,207, 291,393.90 and 120,497.80

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Solution

The fourth proportional to 211,207, 291,393.90 and 120,497.80 is: 166,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,207 : 291,393.90 = 120,497.80 : x
  2. Step 2: Convert to fraction form
    211,207/291,393.90 = 120,497.80/x
  3. Step 3: Cross multiply
    211,207x = 291,393.90 × 120,497.80
  4. Step 4: Simplify right side
    211,207x = 35,112,323,883.42
  5. Step 5: Solve for x
    x = 35,112,323,883.42/211,207
  6. Step 6: Final answer
    x = 166,246.02

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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.