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Finding the Fourth Proportional to 211,745.60, 317,618.40 and 106,769.60

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Solution

The fourth proportional to 211,745.60, 317,618.40 and 106,769.60 is: 160,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,745.60 : 317,618.40 = 106,769.60 : x
  2. Step 2: Convert to fraction form
    211,745.60/317,618.40 = 106,769.60/x
  3. Step 3: Cross multiply
    211,745.60x = 317,618.40 × 106,769.60
  4. Step 4: Simplify right side
    211,745.60x = 33,911,989,520.64
  5. Step 5: Solve for x
    x = 33,911,989,520.64/211,745.60
  6. Step 6: Final answer
    x = 160,154.40

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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.