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Finding the Fourth Proportional to 122,691.40, 184,038.86 and 80,839.48

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Solution

The fourth proportional to 122,691.40, 184,038.86 and 80,839.48 is: 121,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,691.40 : 184,038.86 = 80,839.48 : x
  2. Step 2: Convert to fraction form
    122,691.40/184,038.86 = 80,839.48/x
  3. Step 3: Cross multiply
    122,691.40x = 184,038.86 × 80,839.48
  4. Step 4: Simplify right side
    122,691.40x = 14,877,605,742.19
  5. Step 5: Solve for x
    x = 14,877,605,742.19/122,691.40
  6. Step 6: Final answer
    x = 121,260.38

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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.