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Finding the Fourth Proportional to 211,214.56, 317,019.12 and 111,448.48

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Solution

The fourth proportional to 211,214.56, 317,019.12 and 111,448.48 is: 167,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,214.56 : 317,019.12 = 111,448.48 : x
  2. Step 2: Convert to fraction form
    211,214.56/317,019.12 = 111,448.48/x
  3. Step 3: Cross multiply
    211,214.56x = 317,019.12 × 111,448.48
  4. Step 4: Simplify right side
    211,214.56x = 35,331,299,054.94
  5. Step 5: Solve for x
    x = 35,331,299,054.94/211,214.56
  6. Step 6: Final answer
    x = 167,276.82

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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.