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Finding the Fourth Proportional to 211,585.60, 317,376.96 and 53,812

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Solution

The fourth proportional to 211,585.60, 317,376.96 and 53,812 is: 80,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,585.60 : 317,376.96 = 53,812 : x
  2. Step 2: Convert to fraction form
    211,585.60/317,376.96 = 53,812/x
  3. Step 3: Cross multiply
    211,585.60x = 317,376.96 × 53,812
  4. Step 4: Simplify right side
    211,585.60x = 17,078,688,971.52
  5. Step 5: Solve for x
    x = 17,078,688,971.52/211,585.60
  6. Step 6: Final answer
    x = 80,717.63

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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.