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Finding the Fourth Proportional to 210,998.33, 316,447.81 and 61,199.09

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Solution

The fourth proportional to 210,998.33, 316,447.81 and 61,199.09 is: 91,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,998.33 : 316,447.81 = 61,199.09 : x
  2. Step 2: Convert to fraction form
    210,998.33/316,447.81 = 61,199.09/x
  3. Step 3: Cross multiply
    210,998.33x = 316,447.81 × 61,199.09
  4. Step 4: Simplify right side
    210,998.33x = 19,366,316,269.26
  5. Step 5: Solve for x
    x = 19,366,316,269.26/210,998.33
  6. Step 6: Final answer
    x = 91,784.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.