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Finding the Fourth Proportional to 103,233.60, 154,850.40 and 71,438.40

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Solution

The fourth proportional to 103,233.60, 154,850.40 and 71,438.40 is: 107,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.60 : 154,850.40 = 71,438.40 : x
  2. Step 2: Convert to fraction form
    103,233.60/154,850.40 = 71,438.40/x
  3. Step 3: Cross multiply
    103,233.60x = 154,850.40 × 71,438.40
  4. Step 4: Simplify right side
    103,233.60x = 11,062,264,815.36
  5. Step 5: Solve for x
    x = 11,062,264,815.36/103,233.60
  6. Step 6: Final answer
    x = 107,157.60

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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.