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Finding the Fourth Proportional to 72,376.80, 108,334.80 and 51,640.80

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Solution

The fourth proportional to 72,376.80, 108,334.80 and 51,640.80 is: 77,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,376.80 : 108,334.80 = 51,640.80 : x
  2. Step 2: Convert to fraction form
    72,376.80/108,334.80 = 51,640.80/x
  3. Step 3: Cross multiply
    72,376.80x = 108,334.80 × 51,640.80
  4. Step 4: Simplify right side
    72,376.80x = 5,594,495,739.84
  5. Step 5: Solve for x
    x = 5,594,495,739.84/72,376.80
  6. Step 6: Final answer
    x = 77,296.81

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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.