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Finding the Fourth Proportional to 210,231.85, 290,115.92 and 114,739.23

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Solution

The fourth proportional to 210,231.85, 290,115.92 and 114,739.23 is: 158,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231.85 : 290,115.92 = 114,739.23 : x
  2. Step 2: Convert to fraction form
    210,231.85/290,115.92 = 114,739.23/x
  3. Step 3: Cross multiply
    210,231.85x = 290,115.92 × 114,739.23
  4. Step 4: Simplify right side
    210,231.85x = 33,287,677,271.54
  5. Step 5: Solve for x
    x = 33,287,677,271.54/210,231.85
  6. Step 6: Final answer
    x = 158,337.94

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1.5x scale

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.