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Finding the Fourth Proportional to 76,434.40, 114,554.40 and 36,906.40

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Solution

The fourth proportional to 76,434.40, 114,554.40 and 36,906.40 is: 55,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.40 : 114,554.40 = 36,906.40 : x
  2. Step 2: Convert to fraction form
    76,434.40/114,554.40 = 36,906.40/x
  3. Step 3: Cross multiply
    76,434.40x = 114,554.40 × 36,906.40
  4. Step 4: Simplify right side
    76,434.40x = 4,227,790,508.16
  5. Step 5: Solve for x
    x = 4,227,790,508.16/76,434.40
  6. Step 6: Final answer
    x = 55,312.67

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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.