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Finding the Fourth Proportional to 77,311.40, 115,880.70 and 44,047.40

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Solution

The fourth proportional to 77,311.40, 115,880.70 and 44,047.40 is: 66,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.40 : 115,880.70 = 44,047.40 : x
  2. Step 2: Convert to fraction form
    77,311.40/115,880.70 = 44,047.40/x
  3. Step 3: Cross multiply
    77,311.40x = 115,880.70 × 44,047.40
  4. Step 4: Simplify right side
    77,311.40x = 5,104,243,545.18
  5. Step 5: Solve for x
    x = 5,104,243,545.18/77,311.40
  6. Step 6: Final answer
    x = 66,021.87

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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.