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Finding the Fourth Proportional to 211,495.50, 291,889.71 and 122,071.50

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Solution

The fourth proportional to 211,495.50, 291,889.71 and 122,071.50 is: 168,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,495.50 : 291,889.71 = 122,071.50 : x
  2. Step 2: Convert to fraction form
    211,495.50/291,889.71 = 122,071.50/x
  3. Step 3: Cross multiply
    211,495.50x = 291,889.71 × 122,071.50
  4. Step 4: Simplify right side
    211,495.50x = 35,631,414,734.27
  5. Step 5: Solve for x
    x = 35,631,414,734.27/211,495.50
  6. Step 6: Final answer
    x = 168,473.63

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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.