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Finding the Fourth Proportional to 77,675.88, 107,191.20 and 43,684.80

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Solution

The fourth proportional to 77,675.88, 107,191.20 and 43,684.80 is: 60,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675.88 : 107,191.20 = 43,684.80 : x
  2. Step 2: Convert to fraction form
    77,675.88/107,191.20 = 43,684.80/x
  3. Step 3: Cross multiply
    77,675.88x = 107,191.20 × 43,684.80
  4. Step 4: Simplify right side
    77,675.88x = 4,682,626,133.76
  5. Step 5: Solve for x
    x = 4,682,626,133.76/77,675.88
  6. Step 6: Final answer
    x = 60,284.17

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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.