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Finding the Fourth Proportional to 76,509.60, 114,764.40 and 55,773.60

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Solution

The fourth proportional to 76,509.60, 114,764.40 and 55,773.60 is: 83,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.60 : 114,764.40 = 55,773.60 : x
  2. Step 2: Convert to fraction form
    76,509.60/114,764.40 = 55,773.60/x
  3. Step 3: Cross multiply
    76,509.60x = 114,764.40 × 55,773.60
  4. Step 4: Simplify right side
    76,509.60x = 6,400,823,739.84
  5. Step 5: Solve for x
    x = 6,400,823,739.84/76,509.60
  6. Step 6: Final answer
    x = 83,660.40

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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.