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Finding the Fourth Proportional to 211,232.88, 316,212.80 and 136,203.80

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Solution

The fourth proportional to 211,232.88, 316,212.80 and 136,203.80 is: 203,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232.88 : 316,212.80 = 136,203.80 : x
  2. Step 2: Convert to fraction form
    211,232.88/316,212.80 = 136,203.80/x
  3. Step 3: Cross multiply
    211,232.88x = 316,212.80 × 136,203.80
  4. Step 4: Simplify right side
    211,232.88x = 43,069,382,706.56
  5. Step 5: Solve for x
    x = 43,069,382,706.56/211,232.88
  6. Step 6: Final answer
    x = 203,895.26

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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.