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Finding the Fourth Proportional to 253,537.86, 380,306.43 and 101,803.26

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Solution

The fourth proportional to 253,537.86, 380,306.43 and 101,803.26 is: 152,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,537.86 : 380,306.43 = 101,803.26 : x
  2. Step 2: Convert to fraction form
    253,537.86/380,306.43 = 101,803.26/x
  3. Step 3: Cross multiply
    253,537.86x = 380,306.43 × 101,803.26
  4. Step 4: Simplify right side
    253,537.86x = 38,716,434,372.96
  5. Step 5: Solve for x
    x = 38,716,434,372.96/253,537.86
  6. Step 6: Final answer
    x = 152,704.75

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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.