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Finding the Fourth Proportional to 253,765.07, 380,691.53 and 85,301.87

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Solution

The fourth proportional to 253,765.07, 380,691.53 and 85,301.87 is: 127,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,765.07 : 380,691.53 = 85,301.87 : x
  2. Step 2: Convert to fraction form
    253,765.07/380,691.53 = 85,301.87/x
  3. Step 3: Cross multiply
    253,765.07x = 380,691.53 × 85,301.87
  4. Step 4: Simplify right side
    253,765.07x = 32,473,698,975.65
  5. Step 5: Solve for x
    x = 32,473,698,975.65/253,765.07
  6. Step 6: Final answer
    x = 127,967.57

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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.