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Finding the Fourth Proportional to 122,787, 184,140 and 39,661.56

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Solution

The fourth proportional to 122,787, 184,140 and 39,661.56 is: 59,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,787 : 184,140 = 39,661.56 : x
  2. Step 2: Convert to fraction form
    122,787/184,140 = 39,661.56/x
  3. Step 3: Cross multiply
    122,787x = 184,140 × 39,661.56
  4. Step 4: Simplify right side
    122,787x = 7,303,279,658.40
  5. Step 5: Solve for x
    x = 7,303,279,658.40/122,787
  6. Step 6: Final answer
    x = 59,479.26

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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.