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Finding the Fourth Proportional to 211,749, 292,239.54 and 122,325

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Solution

The fourth proportional to 211,749, 292,239.54 and 122,325 is: 168,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,749 : 292,239.54 = 122,325 : x
  2. Step 2: Convert to fraction form
    211,749/292,239.54 = 122,325/x
  3. Step 3: Cross multiply
    211,749x = 292,239.54 × 122,325
  4. Step 4: Simplify right side
    211,749x = 35,748,201,730.50
  5. Step 5: Solve for x
    x = 35,748,201,730.50/211,749
  6. Step 6: Final answer
    x = 168,823.47

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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.