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Finding the Fourth Proportional to 122,980.98, 184,497.40 and 39,868.50

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Solution

The fourth proportional to 122,980.98, 184,497.40 and 39,868.50 is: 59,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,980.98 : 184,497.40 = 39,868.50 : x
  2. Step 2: Convert to fraction form
    122,980.98/184,497.40 = 39,868.50/x
  3. Step 3: Cross multiply
    122,980.98x = 184,497.40 × 39,868.50
  4. Step 4: Simplify right side
    122,980.98x = 7,355,634,591.90
  5. Step 5: Solve for x
    x = 7,355,634,591.90/122,980.98
  6. Step 6: Final answer
    x = 59,811.16

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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.