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Finding the Fourth Proportional to 122,768.70, 183,715.65 and 85,152.30

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Solution

The fourth proportional to 122,768.70, 183,715.65 and 85,152.30 is: 127,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,768.70 : 183,715.65 = 85,152.30 : x
  2. Step 2: Convert to fraction form
    122,768.70/183,715.65 = 85,152.30/x
  3. Step 3: Cross multiply
    122,768.70x = 183,715.65 × 85,152.30
  4. Step 4: Simplify right side
    122,768.70x = 15,643,810,143.50
  5. Step 5: Solve for x
    x = 15,643,810,143.50/122,768.70
  6. Step 6: Final answer
    x = 127,425.07

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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.