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Finding the Fourth Proportional to 211,069.60, 317,065.20 and 148,861.60

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Solution

The fourth proportional to 211,069.60, 317,065.20 and 148,861.60 is: 223,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,069.60 : 317,065.20 = 148,861.60 : x
  2. Step 2: Convert to fraction form
    211,069.60/317,065.20 = 148,861.60/x
  3. Step 3: Cross multiply
    211,069.60x = 317,065.20 × 148,861.60
  4. Step 4: Simplify right side
    211,069.60x = 47,198,832,976.32
  5. Step 5: Solve for x
    x = 47,198,832,976.32/211,069.60
  6. Step 6: Final answer
    x = 223,617.39

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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.