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Finding the Fourth Proportional to 145,651.85, 218,508.98 and 82,501.82

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Solution

The fourth proportional to 145,651.85, 218,508.98 and 82,501.82 is: 123,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,651.85 : 218,508.98 = 82,501.82 : x
  2. Step 2: Convert to fraction form
    145,651.85/218,508.98 = 82,501.82/x
  3. Step 3: Cross multiply
    145,651.85x = 218,508.98 × 82,501.82
  4. Step 4: Simplify right side
    145,651.85x = 18,027,388,536.34
  5. Step 5: Solve for x
    x = 18,027,388,536.34/145,651.85
  6. Step 6: Final answer
    x = 123,770.41

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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.