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Finding the Fourth Proportional to 76,614.60, 114,986.70 and 34,559.40

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Solution

The fourth proportional to 76,614.60, 114,986.70 and 34,559.40 is: 51,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614.60 : 114,986.70 = 34,559.40 : x
  2. Step 2: Convert to fraction form
    76,614.60/114,986.70 = 34,559.40/x
  3. Step 3: Cross multiply
    76,614.60x = 114,986.70 × 34,559.40
  4. Step 4: Simplify right side
    76,614.60x = 3,973,871,359.98
  5. Step 5: Solve for x
    x = 3,973,871,359.98/76,614.60
  6. Step 6: Final answer
    x = 51,868.33

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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.