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Finding the Fourth Proportional to 211,466.93, 317,126.61 and 85,074.39

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Solution

The fourth proportional to 211,466.93, 317,126.61 and 85,074.39 is: 127,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466.93 : 317,126.61 = 85,074.39 : x
  2. Step 2: Convert to fraction form
    211,466.93/317,126.61 = 85,074.39/x
  3. Step 3: Cross multiply
    211,466.93x = 317,126.61 × 85,074.39
  4. Step 4: Simplify right side
    211,466.93x = 26,979,352,898.52
  5. Step 5: Solve for x
    x = 26,979,352,898.52/211,466.93
  6. Step 6: Final answer
    x = 127,581.90

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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.