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Finding the Fourth Proportional to 122,071, 168,443.80 and 71,094.88

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Solution

The fourth proportional to 122,071, 168,443.80 and 71,094.88 is: 98,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,071 : 168,443.80 = 71,094.88 : x
  2. Step 2: Convert to fraction form
    122,071/168,443.80 = 71,094.88/x
  3. Step 3: Cross multiply
    122,071x = 168,443.80 × 71,094.88
  4. Step 4: Simplify right side
    122,071x = 11,975,491,747.74
  5. Step 5: Solve for x
    x = 11,975,491,747.74/122,071
  6. Step 6: Final answer
    x = 98,102.68

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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.