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Finding the Fourth Proportional to 103,940.64, 155,954.16 and 57,189.60

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Solution

The fourth proportional to 103,940.64, 155,954.16 and 57,189.60 is: 85,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,940.64 : 155,954.16 = 57,189.60 : x
  2. Step 2: Convert to fraction form
    103,940.64/155,954.16 = 57,189.60/x
  3. Step 3: Cross multiply
    103,940.64x = 155,954.16 × 57,189.60
  4. Step 4: Simplify right side
    103,940.64x = 8,918,956,028.74
  5. Step 5: Solve for x
    x = 8,918,956,028.74/103,940.64
  6. Step 6: Final answer
    x = 85,808.17

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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.