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Finding the Fourth Proportional to 254,403.60, 381,605.40 and 76,892.10

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Solution

The fourth proportional to 254,403.60, 381,605.40 and 76,892.10 is: 115,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,403.60 : 381,605.40 = 76,892.10 : x
  2. Step 2: Convert to fraction form
    254,403.60/381,605.40 = 76,892.10/x
  3. Step 3: Cross multiply
    254,403.60x = 381,605.40 × 76,892.10
  4. Step 4: Simplify right side
    254,403.60x = 29,342,440,577.34
  5. Step 5: Solve for x
    x = 29,342,440,577.34/254,403.60
  6. Step 6: Final answer
    x = 115,338.15

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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.