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Finding the Fourth Proportional to 103,205.80, 154,808.70 and 36,656.20

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Solution

The fourth proportional to 103,205.80, 154,808.70 and 36,656.20 is: 54,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.80 : 154,808.70 = 36,656.20 : x
  2. Step 2: Convert to fraction form
    103,205.80/154,808.70 = 36,656.20/x
  3. Step 3: Cross multiply
    103,205.80x = 154,808.70 × 36,656.20
  4. Step 4: Simplify right side
    103,205.80x = 5,674,698,668.94
  5. Step 5: Solve for x
    x = 5,674,698,668.94/103,205.80
  6. Step 6: Final answer
    x = 54,984.30

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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.