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Finding the Fourth Proportional to 122,687.57, 184,031.37 and 38,447.70

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Solution

The fourth proportional to 122,687.57, 184,031.37 and 38,447.70 is: 57,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,687.57 : 184,031.37 = 38,447.70 : x
  2. Step 2: Convert to fraction form
    122,687.57/184,031.37 = 38,447.70/x
  3. Step 3: Cross multiply
    122,687.57x = 184,031.37 × 38,447.70
  4. Step 4: Simplify right side
    122,687.57x = 7,075,582,904.35
  5. Step 5: Solve for x
    x = 7,075,582,904.35/122,687.57
  6. Step 6: Final answer
    x = 57,671.56

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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.