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Finding the Fourth Proportional to 122,717.60, 183,968.40 and 83,146.40

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Solution

The fourth proportional to 122,717.60, 183,968.40 and 83,146.40 is: 124,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,717.60 : 183,968.40 = 83,146.40 : x
  2. Step 2: Convert to fraction form
    122,717.60/183,968.40 = 83,146.40/x
  3. Step 3: Cross multiply
    122,717.60x = 183,968.40 × 83,146.40
  4. Step 4: Simplify right side
    122,717.60x = 15,296,310,173.76
  5. Step 5: Solve for x
    x = 15,296,310,173.76/122,717.60
  6. Step 6: Final answer
    x = 124,646.43

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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.