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Finding the Fourth Proportional to 210,208.50, 290,087.73 and 134,757

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Solution

The fourth proportional to 210,208.50, 290,087.73 and 134,757 is: 185,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208.50 : 290,087.73 = 134,757 : x
  2. Step 2: Convert to fraction form
    210,208.50/290,087.73 = 134,757/x
  3. Step 3: Cross multiply
    210,208.50x = 290,087.73 × 134,757
  4. Step 4: Simplify right side
    210,208.50x = 39,091,352,231.61
  5. Step 5: Solve for x
    x = 39,091,352,231.61/210,208.50
  6. Step 6: Final answer
    x = 185,964.66

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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.