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Finding the Fourth Proportional to 43,415.92, 65,114.02 and 12,253.60

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Solution

The fourth proportional to 43,415.92, 65,114.02 and 12,253.60 is: 18,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415.92 : 65,114.02 = 12,253.60 : x
  2. Step 2: Convert to fraction form
    43,415.92/65,114.02 = 12,253.60/x
  3. Step 3: Cross multiply
    43,415.92x = 65,114.02 × 12,253.60
  4. Step 4: Simplify right side
    43,415.92x = 797,881,155.47
  5. Step 5: Solve for x
    x = 797,881,155.47/43,415.92
  6. Step 6: Final answer
    x = 18,377.62

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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.