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Finding the Fourth Proportional to 77,709.80, 116,564.70 and 71,229.80

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Solution

The fourth proportional to 77,709.80, 116,564.70 and 71,229.80 is: 106,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.80 : 116,564.70 = 71,229.80 : x
  2. Step 2: Convert to fraction form
    77,709.80/116,564.70 = 71,229.80/x
  3. Step 3: Cross multiply
    77,709.80x = 116,564.70 × 71,229.80
  4. Step 4: Simplify right side
    77,709.80x = 8,302,880,268.06
  5. Step 5: Solve for x
    x = 8,302,880,268.06/77,709.80
  6. Step 6: Final answer
    x = 106,844.70

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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.