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Finding the Fourth Proportional to 43,298.40, 64,947.60 and 12,129.60

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Solution

The fourth proportional to 43,298.40, 64,947.60 and 12,129.60 is: 18,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,298.40 : 64,947.60 = 12,129.60 : x
  2. Step 2: Convert to fraction form
    43,298.40/64,947.60 = 12,129.60/x
  3. Step 3: Cross multiply
    43,298.40x = 64,947.60 × 12,129.60
  4. Step 4: Simplify right side
    43,298.40x = 787,788,408.96
  5. Step 5: Solve for x
    x = 787,788,408.96/43,298.40
  6. Step 6: Final answer
    x = 18,194.40

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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.