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Finding the Fourth Proportional to 76,085.24, 114,128 and 20,681.24

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Solution

The fourth proportional to 76,085.24, 114,128 and 20,681.24 is: 31,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.24 : 114,128 = 20,681.24 : x
  2. Step 2: Convert to fraction form
    76,085.24/114,128 = 20,681.24/x
  3. Step 3: Cross multiply
    76,085.24x = 114,128 × 20,681.24
  4. Step 4: Simplify right side
    76,085.24x = 2,360,308,558.72
  5. Step 5: Solve for x
    x = 2,360,308,558.72/76,085.24
  6. Step 6: Final answer
    x = 31,021.90

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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.