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Finding the Fourth Proportional to 55,928.80, 77,182.77 and 30,777.76

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Solution

The fourth proportional to 55,928.80, 77,182.77 and 30,777.76 is: 42,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928.80 : 77,182.77 = 30,777.76 : x
  2. Step 2: Convert to fraction form
    55,928.80/77,182.77 = 30,777.76/x
  3. Step 3: Cross multiply
    55,928.80x = 77,182.77 × 30,777.76
  4. Step 4: Simplify right side
    55,928.80x = 2,375,512,809.97
  5. Step 5: Solve for x
    x = 2,375,512,809.97/55,928.80
  6. Step 6: Final answer
    x = 42,473.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.