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Finding the Fourth Proportional to 83,820.77, 115,720.49 and 55,564.73

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Solution

The fourth proportional to 83,820.77, 115,720.49 and 55,564.73 is: 76,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.77 : 115,720.49 = 55,564.73 : x
  2. Step 2: Convert to fraction form
    83,820.77/115,720.49 = 55,564.73/x
  3. Step 3: Cross multiply
    83,820.77x = 115,720.49 × 55,564.73
  4. Step 4: Simplify right side
    83,820.77x = 6,429,977,504.49
  5. Step 5: Solve for x
    x = 6,429,977,504.49/83,820.77
  6. Step 6: Final answer
    x = 76,711.03

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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.