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Finding the Fourth Proportional to 211,182.84, 291,321.84 and 130,584.60

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Solution

The fourth proportional to 211,182.84, 291,321.84 and 130,584.60 is: 180,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,182.84 : 291,321.84 = 130,584.60 : x
  2. Step 2: Convert to fraction form
    211,182.84/291,321.84 = 130,584.60/x
  3. Step 3: Cross multiply
    211,182.84x = 291,321.84 × 130,584.60
  4. Step 4: Simplify right side
    211,182.84x = 38,042,145,947.66
  5. Step 5: Solve for x
    x = 38,042,145,947.66/211,182.84
  6. Step 6: Final answer
    x = 180,138.43

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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.