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Finding the Fourth Proportional to 211,474, 291,807.24 and 115,955.56

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Solution

The fourth proportional to 211,474, 291,807.24 and 115,955.56 is: 160,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,474 : 291,807.24 = 115,955.56 : x
  2. Step 2: Convert to fraction form
    211,474/291,807.24 = 115,955.56/x
  3. Step 3: Cross multiply
    211,474x = 291,807.24 × 115,955.56
  4. Step 4: Simplify right side
    211,474x = 33,836,671,926.25
  5. Step 5: Solve for x
    x = 33,836,671,926.25/211,474
  6. Step 6: Final answer
    x = 160,003.93

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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.