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Finding the Fourth Proportional to 122,930, 184,550.64 and 75,428.40

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Solution

The fourth proportional to 122,930, 184,550.64 and 75,428.40 is: 113,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,930 : 184,550.64 = 75,428.40 : x
  2. Step 2: Convert to fraction form
    122,930/184,550.64 = 75,428.40/x
  3. Step 3: Cross multiply
    122,930x = 184,550.64 × 75,428.40
  4. Step 4: Simplify right side
    122,930x = 13,920,359,494.18
  5. Step 5: Solve for x
    x = 13,920,359,494.18/122,930
  6. Step 6: Final answer
    x = 113,238.10

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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.