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Finding the Fourth Proportional to 43,200, 64,803.71 and 12,035.25

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Solution

The fourth proportional to 43,200, 64,803.71 and 12,035.25 is: 18,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 64,803.71 = 12,035.25 : x
  2. Step 2: Convert to fraction form
    43,200/64,803.71 = 12,035.25/x
  3. Step 3: Cross multiply
    43,200x = 64,803.71 × 12,035.25
  4. Step 4: Simplify right side
    43,200x = 779,928,880.87
  5. Step 5: Solve for x
    x = 779,928,880.87/43,200
  6. Step 6: Final answer
    x = 18,053.91

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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.