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Finding the Fourth Proportional to 76,759.86, 114,999.51 and 55,647.53

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Solution

The fourth proportional to 76,759.86, 114,999.51 and 55,647.53 is: 83,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759.86 : 114,999.51 = 55,647.53 : x
  2. Step 2: Convert to fraction form
    76,759.86/114,999.51 = 55,647.53/x
  3. Step 3: Cross multiply
    76,759.86x = 114,999.51 × 55,647.53
  4. Step 4: Simplify right side
    76,759.86x = 6,399,438,970.21
  5. Step 5: Solve for x
    x = 6,399,438,970.21/76,759.86
  6. Step 6: Final answer
    x = 83,369.60

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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.