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Finding the Fourth Proportional to 83,720.80, 115,529.44 and 77,033.44

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Solution

The fourth proportional to 83,720.80, 115,529.44 and 77,033.44 is: 106,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,720.80 : 115,529.44 = 77,033.44 : x
  2. Step 2: Convert to fraction form
    83,720.80/115,529.44 = 77,033.44/x
  3. Step 3: Cross multiply
    83,720.80x = 115,529.44 × 77,033.44
  4. Step 4: Simplify right side
    83,720.80x = 8,899,630,184.47
  5. Step 5: Solve for x
    x = 8,899,630,184.47/83,720.80
  6. Step 6: Final answer
    x = 106,301.30

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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.