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Finding the Fourth Proportional to 211,685.94, 317,601.81 and 106,418.34

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Solution

The fourth proportional to 211,685.94, 317,601.81 and 106,418.34 is: 159,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,685.94 : 317,601.81 = 106,418.34 : x
  2. Step 2: Convert to fraction form
    211,685.94/317,601.81 = 106,418.34/x
  3. Step 3: Cross multiply
    211,685.94x = 317,601.81 × 106,418.34
  4. Step 4: Simplify right side
    211,685.94x = 33,798,657,401.20
  5. Step 5: Solve for x
    x = 33,798,657,401.20/211,685.94
  6. Step 6: Final answer
    x = 159,664.16

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1.5x scale

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.