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Finding the Fourth Proportional to 257,151.63, 385,788.60 and 107,308.65

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Solution

The fourth proportional to 257,151.63, 385,788.60 and 107,308.65 is: 160,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151.63 : 385,788.60 = 107,308.65 : x
  2. Step 2: Convert to fraction form
    257,151.63/385,788.60 = 107,308.65/x
  3. Step 3: Cross multiply
    257,151.63x = 385,788.60 × 107,308.65
  4. Step 4: Simplify right side
    257,151.63x = 41,398,453,851.39
  5. Step 5: Solve for x
    x = 41,398,453,851.39/257,151.63
  6. Step 6: Final answer
    x = 160,988.49

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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.