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Finding the Fourth Proportional to 210,940.80, 316,227.52 and 86,202.24

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Solution

The fourth proportional to 210,940.80, 316,227.52 and 86,202.24 is: 129,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,940.80 : 316,227.52 = 86,202.24 : x
  2. Step 2: Convert to fraction form
    210,940.80/316,227.52 = 86,202.24/x
  3. Step 3: Cross multiply
    210,940.80x = 316,227.52 × 86,202.24
  4. Step 4: Simplify right side
    210,940.80x = 27,259,520,573.64
  5. Step 5: Solve for x
    x = 27,259,520,573.64/210,940.80
  6. Step 6: Final answer
    x = 129,228.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.