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Finding the Fourth Proportional to 76,626.72, 114,942 and 21,223.20

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Solution

The fourth proportional to 76,626.72, 114,942 and 21,223.20 is: 31,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,626.72 : 114,942 = 21,223.20 : x
  2. Step 2: Convert to fraction form
    76,626.72/114,942 = 21,223.20/x
  3. Step 3: Cross multiply
    76,626.72x = 114,942 × 21,223.20
  4. Step 4: Simplify right side
    76,626.72x = 2,439,437,054.40
  5. Step 5: Solve for x
    x = 2,439,437,054.40/76,626.72
  6. Step 6: Final answer
    x = 31,835.33

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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.