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Finding the Fourth Proportional to 102,768.40, 154,230.50 and 43,645.58

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Solution

The fourth proportional to 102,768.40, 154,230.50 and 43,645.58 is: 65,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768.40 : 154,230.50 = 43,645.58 : x
  2. Step 2: Convert to fraction form
    102,768.40/154,230.50 = 43,645.58/x
  3. Step 3: Cross multiply
    102,768.40x = 154,230.50 × 43,645.58
  4. Step 4: Simplify right side
    102,768.40x = 6,731,479,626.19
  5. Step 5: Solve for x
    x = 6,731,479,626.19/102,768.40
  6. Step 6: Final answer
    x = 65,501.45

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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.