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Finding the Fourth Proportional to 122,904, 184,360.32 and 70,289.28

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Solution

The fourth proportional to 122,904, 184,360.32 and 70,289.28 is: 105,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 184,360.32 = 70,289.28 : x
  2. Step 2: Convert to fraction form
    122,904/184,360.32 = 70,289.28/x
  3. Step 3: Cross multiply
    122,904x = 184,360.32 × 70,289.28
  4. Step 4: Simplify right side
    122,904x = 12,958,554,153.37
  5. Step 5: Solve for x
    x = 12,958,554,153.37/122,904
  6. Step 6: Final answer
    x = 105,436.39

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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.