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Finding the Fourth Proportional to 122,085, 183,130.74 and 38,979

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Solution

The fourth proportional to 122,085, 183,130.74 and 38,979 is: 58,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,085 : 183,130.74 = 38,979 : x
  2. Step 2: Convert to fraction form
    122,085/183,130.74 = 38,979/x
  3. Step 3: Cross multiply
    122,085x = 183,130.74 × 38,979
  4. Step 4: Simplify right side
    122,085x = 7,138,253,114.46
  5. Step 5: Solve for x
    x = 7,138,253,114.46/122,085
  6. Step 6: Final answer
    x = 58,469.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.