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Finding the Fourth Proportional to 122,098, 183,979 and 100,397.52

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Solution

The fourth proportional to 122,098, 183,979 and 100,397.52 is: 151,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,098 : 183,979 = 100,397.52 : x
  2. Step 2: Convert to fraction form
    122,098/183,979 = 100,397.52/x
  3. Step 3: Cross multiply
    122,098x = 183,979 × 100,397.52
  4. Step 4: Simplify right side
    122,098x = 18,471,035,332.08
  5. Step 5: Solve for x
    x = 18,471,035,332.08/122,098
  6. Step 6: Final answer
    x = 151,280.41

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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.