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Finding the Fourth Proportional to 257,039.82, 385,651.98 and 114,873.30

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Solution

The fourth proportional to 257,039.82, 385,651.98 and 114,873.30 is: 172,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,039.82 : 385,651.98 = 114,873.30 : x
  2. Step 2: Convert to fraction form
    257,039.82/385,651.98 = 114,873.30/x
  3. Step 3: Cross multiply
    257,039.82x = 385,651.98 × 114,873.30
  4. Step 4: Simplify right side
    257,039.82x = 44,301,115,594.13
  5. Step 5: Solve for x
    x = 44,301,115,594.13/257,039.82
  6. Step 6: Final answer
    x = 172,351.18

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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.