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Finding the Fourth Proportional to 211,418.16, 317,034.96 and 79,998

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Solution

The fourth proportional to 211,418.16, 317,034.96 and 79,998 is: 119,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,418.16 : 317,034.96 = 79,998 : x
  2. Step 2: Convert to fraction form
    211,418.16/317,034.96 = 79,998/x
  3. Step 3: Cross multiply
    211,418.16x = 317,034.96 × 79,998
  4. Step 4: Simplify right side
    211,418.16x = 25,362,162,730.08
  5. Step 5: Solve for x
    x = 25,362,162,730.08/211,418.16
  6. Step 6: Final answer
    x = 119,962.08

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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.