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Finding the Fourth Proportional to 210,506.67, 290,488.64 and 114,995.79

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Solution

The fourth proportional to 210,506.67, 290,488.64 and 114,995.79 is: 158,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,506.67 : 290,488.64 = 114,995.79 : x
  2. Step 2: Convert to fraction form
    210,506.67/290,488.64 = 114,995.79/x
  3. Step 3: Cross multiply
    210,506.67x = 290,488.64 × 114,995.79
  4. Step 4: Simplify right side
    210,506.67x = 33,404,970,067.85
  5. Step 5: Solve for x
    x = 33,404,970,067.85/210,506.67
  6. Step 6: Final answer
    x = 158,688.42

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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.