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Finding the Fourth Proportional to 76,381.76, 114,461.92 and 54,238.56

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Solution

The fourth proportional to 76,381.76, 114,461.92 and 54,238.56 is: 81,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381.76 : 114,461.92 = 54,238.56 : x
  2. Step 2: Convert to fraction form
    76,381.76/114,461.92 = 54,238.56/x
  3. Step 3: Cross multiply
    76,381.76x = 114,461.92 × 54,238.56
  4. Step 4: Simplify right side
    76,381.76x = 6,208,249,715.64
  5. Step 5: Solve for x
    x = 6,208,249,715.64/76,381.76
  6. Step 6: Final answer
    x = 81,279.22

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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.