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Finding the Fourth Proportional to 123,039.60, 184,559.40 and 105,324.90

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Solution

The fourth proportional to 123,039.60, 184,559.40 and 105,324.90 is: 157,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,039.60 : 184,559.40 = 105,324.90 : x
  2. Step 2: Convert to fraction form
    123,039.60/184,559.40 = 105,324.90/x
  3. Step 3: Cross multiply
    123,039.60x = 184,559.40 × 105,324.90
  4. Step 4: Simplify right side
    123,039.60x = 19,438,700,349.06
  5. Step 5: Solve for x
    x = 19,438,700,349.06/123,039.60
  6. Step 6: Final answer
    x = 157,987.35

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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.