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Finding the Fourth Proportional to 211,878, 317,816.28 and 133,047.54

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Solution

The fourth proportional to 211,878, 317,816.28 and 133,047.54 is: 199,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,878 : 317,816.28 = 133,047.54 : x
  2. Step 2: Convert to fraction form
    211,878/317,816.28 = 133,047.54/x
  3. Step 3: Cross multiply
    211,878x = 317,816.28 × 133,047.54
  4. Step 4: Simplify right side
    211,878x = 42,284,674,225.95
  5. Step 5: Solve for x
    x = 42,284,674,225.95/211,878
  6. Step 6: Final answer
    x = 199,570.86

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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.