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Finding the Fourth Proportional to 122,085, 183,959.39 and 100,384.50

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Solution

The fourth proportional to 122,085, 183,959.39 and 100,384.50 is: 151,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,085 : 183,959.39 = 100,384.50 : x
  2. Step 2: Convert to fraction form
    122,085/183,959.39 = 100,384.50/x
  3. Step 3: Cross multiply
    122,085x = 183,959.39 × 100,384.50
  4. Step 4: Simplify right side
    122,085x = 18,466,670,883.53
  5. Step 5: Solve for x
    x = 18,466,670,883.53/122,085
  6. Step 6: Final answer
    x = 151,260.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.