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Finding the Fourth Proportional to 123,000, 184,512.96 and 56,428.80

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Solution

The fourth proportional to 123,000, 184,512.96 and 56,428.80 is: 84,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,000 : 184,512.96 = 56,428.80 : x
  2. Step 2: Convert to fraction form
    123,000/184,512.96 = 56,428.80/x
  3. Step 3: Cross multiply
    123,000x = 184,512.96 × 56,428.80
  4. Step 4: Simplify right side
    123,000x = 10,411,844,917.25
  5. Step 5: Solve for x
    x = 10,411,844,917.25/123,000
  6. Step 6: Final answer
    x = 84,649.15

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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.