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Finding the Fourth Proportional to 211,808.50, 292,361.34 and 136,357

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Solution

The fourth proportional to 211,808.50, 292,361.34 and 136,357 is: 188,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,808.50 : 292,361.34 = 136,357 : x
  2. Step 2: Convert to fraction form
    211,808.50/292,361.34 = 136,357/x
  3. Step 3: Cross multiply
    211,808.50x = 292,361.34 × 136,357
  4. Step 4: Simplify right side
    211,808.50x = 39,865,515,238.38
  5. Step 5: Solve for x
    x = 39,865,515,238.38/211,808.50
  6. Step 6: Final answer
    x = 188,214.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.