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Finding the Fourth Proportional to 103,635.60, 155,453.40 and 71,978.78

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Solution

The fourth proportional to 103,635.60, 155,453.40 and 71,978.78 is: 107,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635.60 : 155,453.40 = 71,978.78 : x
  2. Step 2: Convert to fraction form
    103,635.60/155,453.40 = 71,978.78/x
  3. Step 3: Cross multiply
    103,635.60x = 155,453.40 × 71,978.78
  4. Step 4: Simplify right side
    103,635.60x = 11,189,345,301.59
  5. Step 5: Solve for x
    x = 11,189,345,301.59/103,635.60
  6. Step 6: Final answer
    x = 107,968.16

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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.