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Finding the Fourth Proportional to 122,186.80, 183,222.68 and 47,342

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Solution

The fourth proportional to 122,186.80, 183,222.68 and 47,342 is: 70,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,186.80 : 183,222.68 = 47,342 : x
  2. Step 2: Convert to fraction form
    122,186.80/183,222.68 = 47,342/x
  3. Step 3: Cross multiply
    122,186.80x = 183,222.68 × 47,342
  4. Step 4: Simplify right side
    122,186.80x = 8,674,128,116.56
  5. Step 5: Solve for x
    x = 8,674,128,116.56/122,186.80
  6. Step 6: Final answer
    x = 70,990.71

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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.