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Finding the Fourth Proportional to 123,078.50, 184,635.57 and 38,810.06

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Solution

The fourth proportional to 123,078.50, 184,635.57 and 38,810.06 is: 58,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078.50 : 184,635.57 = 38,810.06 : x
  2. Step 2: Convert to fraction form
    123,078.50/184,635.57 = 38,810.06/x
  3. Step 3: Cross multiply
    123,078.50x = 184,635.57 × 38,810.06
  4. Step 4: Simplify right side
    123,078.50x = 7,165,717,549.83
  5. Step 5: Solve for x
    x = 7,165,717,549.83/123,078.50
  6. Step 6: Final answer
    x = 58,220.71

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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.