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Finding the Fourth Proportional to 103,459.08, 155,189.70 and 82,813.80

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Solution

The fourth proportional to 103,459.08, 155,189.70 and 82,813.80 is: 124,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,459.08 : 155,189.70 = 82,813.80 : x
  2. Step 2: Convert to fraction form
    103,459.08/155,189.70 = 82,813.80/x
  3. Step 3: Cross multiply
    103,459.08x = 155,189.70 × 82,813.80
  4. Step 4: Simplify right side
    103,459.08x = 12,851,848,777.86
  5. Step 5: Solve for x
    x = 12,851,848,777.86/103,459.08
  6. Step 6: Final answer
    x = 124,221.56

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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.