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Finding the Fourth Proportional to 253,563.51, 380,408.45 and 76,073.79

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Solution

The fourth proportional to 253,563.51, 380,408.45 and 76,073.79 is: 114,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,563.51 : 380,408.45 = 76,073.79 : x
  2. Step 2: Convert to fraction form
    253,563.51/380,408.45 = 76,073.79/x
  3. Step 3: Cross multiply
    253,563.51x = 380,408.45 × 76,073.79
  4. Step 4: Simplify right side
    253,563.51x = 28,939,112,159.16
  5. Step 5: Solve for x
    x = 28,939,112,159.16/253,563.51
  6. Step 6: Final answer
    x = 114,129.64

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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.