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Finding the Fourth Proportional to 257,517.60, 386,276.40 and 107,708.10

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Solution

The fourth proportional to 257,517.60, 386,276.40 and 107,708.10 is: 161,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517.60 : 386,276.40 = 107,708.10 : x
  2. Step 2: Convert to fraction form
    257,517.60/386,276.40 = 107,708.10/x
  3. Step 3: Cross multiply
    257,517.60x = 386,276.40 × 107,708.10
  4. Step 4: Simplify right side
    257,517.60x = 41,605,097,118.84
  5. Step 5: Solve for x
    x = 41,605,097,118.84/257,517.60
  6. Step 6: Final answer
    x = 161,562.15

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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.