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Finding the Fourth Proportional to 210,412.61, 290,364.92 and 114,919.69

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Solution

The fourth proportional to 210,412.61, 290,364.92 and 114,919.69 is: 158,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412.61 : 290,364.92 = 114,919.69 : x
  2. Step 2: Convert to fraction form
    210,412.61/290,364.92 = 114,919.69/x
  3. Step 3: Cross multiply
    210,412.61x = 290,364.92 × 114,919.69
  4. Step 4: Simplify right side
    210,412.61x = 33,368,644,566.85
  5. Step 5: Solve for x
    x = 33,368,644,566.85/210,412.61
  6. Step 6: Final answer
    x = 158,586.71

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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.