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Finding the Fourth Proportional to 211,494, 291,887.64 and 122,070

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Solution

The fourth proportional to 211,494, 291,887.64 and 122,070 is: 168,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,494 : 291,887.64 = 122,070 : x
  2. Step 2: Convert to fraction form
    211,494/291,887.64 = 122,070/x
  3. Step 3: Cross multiply
    211,494x = 291,887.64 × 122,070
  4. Step 4: Simplify right side
    211,494x = 35,630,724,214.80
  5. Step 5: Solve for x
    x = 35,630,724,214.80/211,494
  6. Step 6: Final answer
    x = 168,471.56

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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.