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Finding the Fourth Proportional to 211,555.80, 317,035.26 and 116,828.64

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Solution

The fourth proportional to 211,555.80, 317,035.26 and 116,828.64 is: 175,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,555.80 : 317,035.26 = 116,828.64 : x
  2. Step 2: Convert to fraction form
    211,555.80/317,035.26 = 116,828.64/x
  3. Step 3: Cross multiply
    211,555.80x = 317,035.26 × 116,828.64
  4. Step 4: Simplify right side
    211,555.80x = 37,038,798,257.85
  5. Step 5: Solve for x
    x = 37,038,798,257.85/211,555.80
  6. Step 6: Final answer
    x = 175,078.15

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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.