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Finding the Fourth Proportional to 211,410, 291,719.07 and 115,891.56

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Solution

The fourth proportional to 211,410, 291,719.07 and 115,891.56 is: 159,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,410 : 291,719.07 = 115,891.56 : x
  2. Step 2: Convert to fraction form
    211,410/291,719.07 = 115,891.56/x
  3. Step 3: Cross multiply
    211,410x = 291,719.07 × 115,891.56
  4. Step 4: Simplify right side
    211,410x = 33,807,778,104.05
  5. Step 5: Solve for x
    x = 33,807,778,104.05/211,410
  6. Step 6: Final answer
    x = 159,915.70

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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.