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Finding the Fourth Proportional to 211,757.76, 292,231.80 and 119,869.94

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Solution

The fourth proportional to 211,757.76, 292,231.80 and 119,869.94 is: 165,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,757.76 : 292,231.80 = 119,869.94 : x
  2. Step 2: Convert to fraction form
    211,757.76/292,231.80 = 119,869.94/x
  3. Step 3: Cross multiply
    211,757.76x = 292,231.80 × 119,869.94
  4. Step 4: Simplify right side
    211,757.76x = 35,029,809,062.67
  5. Step 5: Solve for x
    x = 35,029,809,062.67/211,757.76
  6. Step 6: Final answer
    x = 165,423.97

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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.