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Finding the Fourth Proportional to 153,135, 211,326.30 and 86,067

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Solution

The fourth proportional to 153,135, 211,326.30 and 86,067 is: 118,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,135 : 211,326.30 = 86,067 : x
  2. Step 2: Convert to fraction form
    153,135/211,326.30 = 86,067/x
  3. Step 3: Cross multiply
    153,135x = 211,326.30 × 86,067
  4. Step 4: Simplify right side
    153,135x = 18,188,220,662.10
  5. Step 5: Solve for x
    x = 18,188,220,662.10/153,135
  6. Step 6: Final answer
    x = 118,772.46

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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.