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Finding the Fourth Proportional to 55,808.20, 83,723.10 and 28,106.20

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Solution

The fourth proportional to 55,808.20, 83,723.10 and 28,106.20 is: 42,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,808.20 : 83,723.10 = 28,106.20 : x
  2. Step 2: Convert to fraction form
    55,808.20/83,723.10 = 28,106.20/x
  3. Step 3: Cross multiply
    55,808.20x = 83,723.10 × 28,106.20
  4. Step 4: Simplify right side
    55,808.20x = 2,353,138,193.22
  5. Step 5: Solve for x
    x = 2,353,138,193.22/55,808.20
  6. Step 6: Final answer
    x = 42,164.74

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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.