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Finding the Fourth Proportional to 123,068.40, 184,602.60 and 78,745.20

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Solution

The fourth proportional to 123,068.40, 184,602.60 and 78,745.20 is: 118,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,068.40 : 184,602.60 = 78,745.20 : x
  2. Step 2: Convert to fraction form
    123,068.40/184,602.60 = 78,745.20/x
  3. Step 3: Cross multiply
    123,068.40x = 184,602.60 × 78,745.20
  4. Step 4: Simplify right side
    123,068.40x = 14,536,568,657.52
  5. Step 5: Solve for x
    x = 14,536,568,657.52/123,068.40
  6. Step 6: Final answer
    x = 118,117.80

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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.