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Finding the Fourth Proportional to 211,693.48, 317,536.62 and 99,347.56

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Solution

The fourth proportional to 211,693.48, 317,536.62 and 99,347.56 is: 149,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,693.48 : 317,536.62 = 99,347.56 : x
  2. Step 2: Convert to fraction form
    211,693.48/317,536.62 = 99,347.56/x
  3. Step 3: Cross multiply
    211,693.48x = 317,536.62 × 99,347.56
  4. Step 4: Simplify right side
    211,693.48x = 31,546,488,407.65
  5. Step 5: Solve for x
    x = 31,546,488,407.65/211,693.48
  6. Step 6: Final answer
    x = 149,019.65

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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.