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Finding the Fourth Proportional to 151,530.08, 209,069.52 and 86,999

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Solution

The fourth proportional to 151,530.08, 209,069.52 and 86,999 is: 120,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,530.08 : 209,069.52 = 86,999 : x
  2. Step 2: Convert to fraction form
    151,530.08/209,069.52 = 86,999/x
  3. Step 3: Cross multiply
    151,530.08x = 209,069.52 × 86,999
  4. Step 4: Simplify right side
    151,530.08x = 18,188,839,170.48
  5. Step 5: Solve for x
    x = 18,188,839,170.48/151,530.08
  6. Step 6: Final answer
    x = 120,034.51

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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.