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Finding the Fourth Proportional to 211,512, 317,276.64 and 53,744.52

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Solution

The fourth proportional to 211,512, 317,276.64 and 53,744.52 is: 80,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,512 : 317,276.64 = 53,744.52 : x
  2. Step 2: Convert to fraction form
    211,512/317,276.64 = 53,744.52/x
  3. Step 3: Cross multiply
    211,512x = 317,276.64 × 53,744.52
  4. Step 4: Simplify right side
    211,512x = 17,051,880,724.01
  5. Step 5: Solve for x
    x = 17,051,880,724.01/211,512
  6. Step 6: Final answer
    x = 80,618.98

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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.