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Finding the Fourth Proportional to 122,978.40, 184,467.60 and 78,655.20

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Solution

The fourth proportional to 122,978.40, 184,467.60 and 78,655.20 is: 117,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.40 : 184,467.60 = 78,655.20 : x
  2. Step 2: Convert to fraction form
    122,978.40/184,467.60 = 78,655.20/x
  3. Step 3: Cross multiply
    122,978.40x = 184,467.60 × 78,655.20
  4. Step 4: Simplify right side
    122,978.40x = 14,509,335,971.52
  5. Step 5: Solve for x
    x = 14,509,335,971.52/122,978.40
  6. Step 6: Final answer
    x = 117,982.80

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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.