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Finding the Fourth Proportional to 77,283.36, 106,655 and 43,289.80

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Solution

The fourth proportional to 77,283.36, 106,655 and 43,289.80 is: 59,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283.36 : 106,655 = 43,289.80 : x
  2. Step 2: Convert to fraction form
    77,283.36/106,655 = 43,289.80/x
  3. Step 3: Cross multiply
    77,283.36x = 106,655 × 43,289.80
  4. Step 4: Simplify right side
    77,283.36x = 4,617,073,619
  5. Step 5: Solve for x
    x = 4,617,073,619/77,283.36
  6. Step 6: Final answer
    x = 59,742.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.