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Finding the Fourth Proportional to 265,558.60, 398,564.70 and 107,900.20

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Solution

The fourth proportional to 265,558.60, 398,564.70 and 107,900.20 is: 161,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,558.60 : 398,564.70 = 107,900.20 : x
  2. Step 2: Convert to fraction form
    265,558.60/398,564.70 = 107,900.20/x
  3. Step 3: Cross multiply
    265,558.60x = 398,564.70 × 107,900.20
  4. Step 4: Simplify right side
    265,558.60x = 43,005,210,842.94
  5. Step 5: Solve for x
    x = 43,005,210,842.94/265,558.60
  6. Step 6: Final answer
    x = 161,942.45

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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.