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Finding the Fourth Proportional to 211,805.50, 292,357.20 and 136,354

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Solution

The fourth proportional to 211,805.50, 292,357.20 and 136,354 is: 188,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,805.50 : 292,357.20 = 136,354 : x
  2. Step 2: Convert to fraction form
    211,805.50/292,357.20 = 136,354/x
  3. Step 3: Cross multiply
    211,805.50x = 292,357.20 × 136,354
  4. Step 4: Simplify right side
    211,805.50x = 39,864,073,648.80
  5. Step 5: Solve for x
    x = 39,864,073,648.80/211,805.50
  6. Step 6: Final answer
    x = 188,210.76

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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.