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Finding the Fourth Proportional to 257,151.10, 385,788.24 and 107,308.03

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Solution

The fourth proportional to 257,151.10, 385,788.24 and 107,308.03 is: 160,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151.10 : 385,788.24 = 107,308.03 : x
  2. Step 2: Convert to fraction form
    257,151.10/385,788.24 = 107,308.03/x
  3. Step 3: Cross multiply
    257,151.10x = 385,788.24 × 107,308.03
  4. Step 4: Simplify right side
    257,151.10x = 41,398,176,031.57
  5. Step 5: Solve for x
    x = 41,398,176,031.57/257,151.10
  6. Step 6: Final answer
    x = 160,987.75

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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.