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Finding the Fourth Proportional to 122,878.42, 184,081.47 and 75,354.93

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Solution

The fourth proportional to 122,878.42, 184,081.47 and 75,354.93 is: 112,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,878.42 : 184,081.47 = 75,354.93 : x
  2. Step 2: Convert to fraction form
    122,878.42/184,081.47 = 75,354.93/x
  3. Step 3: Cross multiply
    122,878.42x = 184,081.47 × 75,354.93
  4. Step 4: Simplify right side
    122,878.42x = 13,871,446,003.57
  5. Step 5: Solve for x
    x = 13,871,446,003.57/122,878.42
  6. Step 6: Final answer
    x = 112,887.57

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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.