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Finding the Fourth Proportional to 122,879.84, 184,364.14 and 42,929.61

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Solution

The fourth proportional to 122,879.84, 184,364.14 and 42,929.61 is: 64,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,879.84 : 184,364.14 = 42,929.61 : x
  2. Step 2: Convert to fraction form
    122,879.84/184,364.14 = 42,929.61/x
  3. Step 3: Cross multiply
    122,879.84x = 184,364.14 × 42,929.61
  4. Step 4: Simplify right side
    122,879.84x = 7,914,681,479.31
  5. Step 5: Solve for x
    x = 7,914,681,479.31/122,879.84
  6. Step 6: Final answer
    x = 64,409.93

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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.