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Finding the Fourth Proportional to 122,608.28, 183,982.28 and 47,718.74

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Solution

The fourth proportional to 122,608.28, 183,982.28 and 47,718.74 is: 71,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,608.28 : 183,982.28 = 47,718.74 : x
  2. Step 2: Convert to fraction form
    122,608.28/183,982.28 = 47,718.74/x
  3. Step 3: Cross multiply
    122,608.28x = 183,982.28 × 47,718.74
  4. Step 4: Simplify right side
    122,608.28x = 8,779,401,425.42
  5. Step 5: Solve for x
    x = 8,779,401,425.42/122,608.28
  6. Step 6: Final answer
    x = 71,605.29

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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.