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Finding the Fourth Proportional to 211,871.60, 317,729.49 and 85,478.03

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Solution

The fourth proportional to 211,871.60, 317,729.49 and 85,478.03 is: 128,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,871.60 : 317,729.49 = 85,478.03 : x
  2. Step 2: Convert to fraction form
    211,871.60/317,729.49 = 85,478.03/x
  3. Step 3: Cross multiply
    211,871.60x = 317,729.49 × 85,478.03
  4. Step 4: Simplify right side
    211,871.60x = 27,158,891,947.63
  5. Step 5: Solve for x
    x = 27,158,891,947.63/211,871.60
  6. Step 6: Final answer
    x = 128,185.62

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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.