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Finding the Fourth Proportional to 211,835, 292,358.24 and 122,411

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Solution

The fourth proportional to 211,835, 292,358.24 and 122,411 is: 168,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,835 : 292,358.24 = 122,411 : x
  2. Step 2: Convert to fraction form
    211,835/292,358.24 = 122,411/x
  3. Step 3: Cross multiply
    211,835x = 292,358.24 × 122,411
  4. Step 4: Simplify right side
    211,835x = 35,787,864,516.64
  5. Step 5: Solve for x
    x = 35,787,864,516.64/211,835
  6. Step 6: Final answer
    x = 168,942.17

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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.