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Finding the Fourth Proportional to 76,124.80, 114,014.40 and 39,145.60

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Solution

The fourth proportional to 76,124.80, 114,014.40 and 39,145.60 is: 58,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,124.80 : 114,014.40 = 39,145.60 : x
  2. Step 2: Convert to fraction form
    76,124.80/114,014.40 = 39,145.60/x
  3. Step 3: Cross multiply
    76,124.80x = 114,014.40 × 39,145.60
  4. Step 4: Simplify right side
    76,124.80x = 4,463,162,096.64
  5. Step 5: Solve for x
    x = 4,463,162,096.64/76,124.80
  6. Step 6: Final answer
    x = 58,629.54

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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.