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Finding the Fourth Proportional to 122,880.84, 184,365.64 and 42,930.61

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Solution

The fourth proportional to 122,880.84, 184,365.64 and 42,930.61 is: 64,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,880.84 : 184,365.64 = 42,930.61 : x
  2. Step 2: Convert to fraction form
    122,880.84/184,365.64 = 42,930.61/x
  3. Step 3: Cross multiply
    122,880.84x = 184,365.64 × 42,930.61
  4. Step 4: Simplify right side
    122,880.84x = 7,914,929,388.24
  5. Step 5: Solve for x
    x = 7,914,929,388.24/122,880.84
  6. Step 6: Final answer
    x = 64,411.42

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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.