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Finding the Fourth Proportional to 224,620.82, 309,989.28 and 122,655.77

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Solution

The fourth proportional to 224,620.82, 309,989.28 and 122,655.77 is: 169,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,620.82 : 309,989.28 = 122,655.77 : x
  2. Step 2: Convert to fraction form
    224,620.82/309,989.28 = 122,655.77/x
  3. Step 3: Cross multiply
    224,620.82x = 309,989.28 × 122,655.77
  4. Step 4: Simplify right side
    224,620.82x = 38,021,973,830.15
  5. Step 5: Solve for x
    x = 38,021,973,830.15/224,620.82
  6. Step 6: Final answer
    x = 169,271.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.