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Finding the Fourth Proportional to 145,317.58, 200,556.18 and 81,654

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Solution

The fourth proportional to 145,317.58, 200,556.18 and 81,654 is: 112,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,317.58 : 200,556.18 = 81,654 : x
  2. Step 2: Convert to fraction form
    145,317.58/200,556.18 = 81,654/x
  3. Step 3: Cross multiply
    145,317.58x = 200,556.18 × 81,654
  4. Step 4: Simplify right side
    145,317.58x = 16,376,214,321.72
  5. Step 5: Solve for x
    x = 16,376,214,321.72/145,317.58
  6. Step 6: Final answer
    x = 112,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.