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Finding the Fourth Proportional to 76,709.40, 114,916.68 and 47,040.72

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Solution

The fourth proportional to 76,709.40, 114,916.68 and 47,040.72 is: 70,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.40 : 114,916.68 = 47,040.72 : x
  2. Step 2: Convert to fraction form
    76,709.40/114,916.68 = 47,040.72/x
  3. Step 3: Cross multiply
    76,709.40x = 114,916.68 × 47,040.72
  4. Step 4: Simplify right side
    76,709.40x = 5,405,763,367.21
  5. Step 5: Solve for x
    x = 5,405,763,367.21/76,709.40
  6. Step 6: Final answer
    x = 70,470.68

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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.