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Finding the Fourth Proportional to 76,806.40, 115,092.72 and 56,992

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Solution

The fourth proportional to 76,806.40, 115,092.72 and 56,992 is: 85,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.40 : 115,092.72 = 56,992 : x
  2. Step 2: Convert to fraction form
    76,806.40/115,092.72 = 56,992/x
  3. Step 3: Cross multiply
    76,806.40x = 115,092.72 × 56,992
  4. Step 4: Simplify right side
    76,806.40x = 6,559,364,298.24
  5. Step 5: Solve for x
    x = 6,559,364,298.24/76,806.40
  6. Step 6: Final answer
    x = 85,401.27

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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.