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Finding the Fourth Proportional to 122,802.53, 184,138.70 and 75,439.29

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Solution

The fourth proportional to 122,802.53, 184,138.70 and 75,439.29 is: 113,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802.53 : 184,138.70 = 75,439.29 : x
  2. Step 2: Convert to fraction form
    122,802.53/184,138.70 = 75,439.29/x
  3. Step 3: Cross multiply
    122,802.53x = 184,138.70 × 75,439.29
  4. Step 4: Simplify right side
    122,802.53x = 13,891,292,412.33
  5. Step 5: Solve for x
    x = 13,891,292,412.33/122,802.53
  6. Step 6: Final answer
    x = 113,118.95

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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.