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Finding the Fourth Proportional to 123,066.40, 184,599.60 and 78,743.20

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Solution

The fourth proportional to 123,066.40, 184,599.60 and 78,743.20 is: 118,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,066.40 : 184,599.60 = 78,743.20 : x
  2. Step 2: Convert to fraction form
    123,066.40/184,599.60 = 78,743.20/x
  3. Step 3: Cross multiply
    123,066.40x = 184,599.60 × 78,743.20
  4. Step 4: Simplify right side
    123,066.40x = 14,535,963,222.72
  5. Step 5: Solve for x
    x = 14,535,963,222.72/123,066.40
  6. Step 6: Final answer
    x = 118,114.80

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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.