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Finding the Fourth Proportional to 217,987.51, 326,508.05 and 105,431.70

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Solution

The fourth proportional to 217,987.51, 326,508.05 and 105,431.70 is: 157,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,987.51 : 326,508.05 = 105,431.70 : x
  2. Step 2: Convert to fraction form
    217,987.51/326,508.05 = 105,431.70/x
  3. Step 3: Cross multiply
    217,987.51x = 326,508.05 × 105,431.70
  4. Step 4: Simplify right side
    217,987.51x = 34,424,298,775.19
  5. Step 5: Solve for x
    x = 34,424,298,775.19/217,987.51
  6. Step 6: Final answer
    x = 157,918.68

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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.