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Finding the Fourth Proportional to 103,245.40, 154,868.10 and 82,509.40

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Solution

The fourth proportional to 103,245.40, 154,868.10 and 82,509.40 is: 123,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,245.40 : 154,868.10 = 82,509.40 : x
  2. Step 2: Convert to fraction form
    103,245.40/154,868.10 = 82,509.40/x
  3. Step 3: Cross multiply
    103,245.40x = 154,868.10 × 82,509.40
  4. Step 4: Simplify right side
    103,245.40x = 12,778,074,010.14
  5. Step 5: Solve for x
    x = 12,778,074,010.14/103,245.40
  6. Step 6: Final answer
    x = 123,764.10

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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.