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Finding the Fourth Proportional to 71,382.80, 106,971.80 and 52,515.60

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Solution

The fourth proportional to 71,382.80, 106,971.80 and 52,515.60 is: 78,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.80 : 106,971.80 = 52,515.60 : x
  2. Step 2: Convert to fraction form
    71,382.80/106,971.80 = 52,515.60/x
  3. Step 3: Cross multiply
    71,382.80x = 106,971.80 × 52,515.60
  4. Step 4: Simplify right side
    71,382.80x = 5,617,688,260.08
  5. Step 5: Solve for x
    x = 5,617,688,260.08/71,382.80
  6. Step 6: Final answer
    x = 78,698.07

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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.