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Finding the Fourth Proportional to 77,712.80, 116,626.80 and 56,976.80

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Solution

The fourth proportional to 77,712.80, 116,626.80 and 56,976.80 is: 85,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.80 : 116,626.80 = 56,976.80 : x
  2. Step 2: Convert to fraction form
    77,712.80/116,626.80 = 56,976.80/x
  3. Step 3: Cross multiply
    77,712.80x = 116,626.80 × 56,976.80
  4. Step 4: Simplify right side
    77,712.80x = 6,645,021,858.24
  5. Step 5: Solve for x
    x = 6,645,021,858.24/77,712.80
  6. Step 6: Final answer
    x = 85,507.43

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1.5x scale

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.