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Finding the Fourth Proportional to 211,866.81, 317,798.46 and 85,505.12

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Solution

The fourth proportional to 211,866.81, 317,798.46 and 85,505.12 is: 128,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,866.81 : 317,798.46 = 85,505.12 : x
  2. Step 2: Convert to fraction form
    211,866.81/317,798.46 = 85,505.12/x
  3. Step 3: Cross multiply
    211,866.81x = 317,798.46 × 85,505.12
  4. Step 4: Simplify right side
    211,866.81x = 27,173,395,301.35
  5. Step 5: Solve for x
    x = 27,173,395,301.35/211,866.81
  6. Step 6: Final answer
    x = 128,256.97

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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.