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Finding the Fourth Proportional to 211,748, 292,238.16 and 122,324

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Solution

The fourth proportional to 211,748, 292,238.16 and 122,324 is: 168,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,748 : 292,238.16 = 122,324 : x
  2. Step 2: Convert to fraction form
    211,748/292,238.16 = 122,324/x
  3. Step 3: Cross multiply
    211,748x = 292,238.16 × 122,324
  4. Step 4: Simplify right side
    211,748x = 35,747,740,683.84
  5. Step 5: Solve for x
    x = 35,747,740,683.84/211,748
  6. Step 6: Final answer
    x = 168,822.09

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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.