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Finding the Fourth Proportional to 55,690.80, 83,390.40 and 40,819.20

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Solution

The fourth proportional to 55,690.80, 83,390.40 and 40,819.20 is: 61,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,690.80 : 83,390.40 = 40,819.20 : x
  2. Step 2: Convert to fraction form
    55,690.80/83,390.40 = 40,819.20/x
  3. Step 3: Cross multiply
    55,690.80x = 83,390.40 × 40,819.20
  4. Step 4: Simplify right side
    55,690.80x = 3,403,929,415.68
  5. Step 5: Solve for x
    x = 3,403,929,415.68/55,690.80
  6. Step 6: Final answer
    x = 61,121.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.