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Finding the Fourth Proportional to 123,295.80, 184,475.70 and 81,823.80

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Solution

The fourth proportional to 123,295.80, 184,475.70 and 81,823.80 is: 122,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,295.80 : 184,475.70 = 81,823.80 : x
  2. Step 2: Convert to fraction form
    123,295.80/184,475.70 = 81,823.80/x
  3. Step 3: Cross multiply
    123,295.80x = 184,475.70 × 81,823.80
  4. Step 4: Simplify right side
    123,295.80x = 15,094,502,781.66
  5. Step 5: Solve for x
    x = 15,094,502,781.66/123,295.80
  6. Step 6: Final answer
    x = 122,425.12

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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.