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Finding the Fourth Proportional to 122,512.64, 183,818.64 and 83,047.28

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Solution

The fourth proportional to 122,512.64, 183,818.64 and 83,047.28 is: 124,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,512.64 : 183,818.64 = 83,047.28 : x
  2. Step 2: Convert to fraction form
    122,512.64/183,818.64 = 83,047.28/x
  3. Step 3: Cross multiply
    122,512.64x = 183,818.64 × 83,047.28
  4. Step 4: Simplify right side
    122,512.64x = 15,265,638,065.30
  5. Step 5: Solve for x
    x = 15,265,638,065.30/122,512.64
  6. Step 6: Final answer
    x = 124,604.60

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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.