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Finding the Fourth Proportional to 80,666.69, 120,747.29 and 52,165.82

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Solution

The fourth proportional to 80,666.69, 120,747.29 and 52,165.82 is: 78,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,666.69 : 120,747.29 = 52,165.82 : x
  2. Step 2: Convert to fraction form
    80,666.69/120,747.29 = 52,165.82/x
  3. Step 3: Cross multiply
    80,666.69x = 120,747.29 × 52,165.82
  4. Step 4: Simplify right side
    80,666.69x = 6,298,880,531.06
  5. Step 5: Solve for x
    x = 6,298,880,531.06/80,666.69
  6. Step 6: Final answer
    x = 78,085.28

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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.