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Finding the Fourth Proportional to 253,470.08, 380,289.36 and 85,007

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Solution

The fourth proportional to 253,470.08, 380,289.36 and 85,007 is: 127,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,470.08 : 380,289.36 = 85,007 : x
  2. Step 2: Convert to fraction form
    253,470.08/380,289.36 = 85,007/x
  3. Step 3: Cross multiply
    253,470.08x = 380,289.36 × 85,007
  4. Step 4: Simplify right side
    253,470.08x = 32,327,257,625.52
  5. Step 5: Solve for x
    x = 32,327,257,625.52/253,470.08
  6. Step 6: Final answer
    x = 127,538.75

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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.