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Finding the Fourth Proportional to 77,754.35, 107,299.80 and 43,298.84

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Solution

The fourth proportional to 77,754.35, 107,299.80 and 43,298.84 is: 59,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.35 : 107,299.80 = 43,298.84 : x
  2. Step 2: Convert to fraction form
    77,754.35/107,299.80 = 43,298.84/x
  3. Step 3: Cross multiply
    77,754.35x = 107,299.80 × 43,298.84
  4. Step 4: Simplify right side
    77,754.35x = 4,645,957,140.48
  5. Step 5: Solve for x
    x = 4,645,957,140.48/77,754.35
  6. Step 6: Final answer
    x = 59,751.73

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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.