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Finding the Fourth Proportional to 320,065.96, 480,099.10 and 83,408.04

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Solution

The fourth proportional to 320,065.96, 480,099.10 and 83,408.04 is: 125,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,065.96 : 480,099.10 = 83,408.04 : x
  2. Step 2: Convert to fraction form
    320,065.96/480,099.10 = 83,408.04/x
  3. Step 3: Cross multiply
    320,065.96x = 480,099.10 × 83,408.04
  4. Step 4: Simplify right side
    320,065.96x = 40,044,124,936.76
  5. Step 5: Solve for x
    x = 40,044,124,936.76/320,065.96
  6. Step 6: Final answer
    x = 125,112.10

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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.