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Finding the Fourth Proportional to 257,097.25, 385,645.88 and 109,353.25

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Solution

The fourth proportional to 257,097.25, 385,645.88 and 109,353.25 is: 164,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.25 : 385,645.88 = 109,353.25 : x
  2. Step 2: Convert to fraction form
    257,097.25/385,645.88 = 109,353.25/x
  3. Step 3: Cross multiply
    257,097.25x = 385,645.88 × 109,353.25
  4. Step 4: Simplify right side
    257,097.25x = 42,171,630,327.11
  5. Step 5: Solve for x
    x = 42,171,630,327.11/257,097.25
  6. Step 6: Final answer
    x = 164,029.88

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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.