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Finding the Fourth Proportional to 211,478.70, 291,813.71 and 120,840.54

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Solution

The fourth proportional to 211,478.70, 291,813.71 and 120,840.54 is: 166,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478.70 : 291,813.71 = 120,840.54 : x
  2. Step 2: Convert to fraction form
    211,478.70/291,813.71 = 120,840.54/x
  3. Step 3: Cross multiply
    211,478.70x = 291,813.71 × 120,840.54
  4. Step 4: Simplify right side
    211,478.70x = 35,262,926,295.80
  5. Step 5: Solve for x
    x = 35,262,926,295.80/211,478.70
  6. Step 6: Final answer
    x = 166,744.58

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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.