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Finding the Fourth Proportional to 211,299.96, 316,949.94 and 128,019

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Solution

The fourth proportional to 211,299.96, 316,949.94 and 128,019 is: 192,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299.96 : 316,949.94 = 128,019 : x
  2. Step 2: Convert to fraction form
    211,299.96/316,949.94 = 128,019/x
  3. Step 3: Cross multiply
    211,299.96x = 316,949.94 × 128,019
  4. Step 4: Simplify right side
    211,299.96x = 40,575,614,368.86
  5. Step 5: Solve for x
    x = 40,575,614,368.86/211,299.96
  6. Step 6: Final answer
    x = 192,028.50

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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.