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Finding the Fourth Proportional to 102,762.60, 154,050.49 and 39,542.39

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Solution

The fourth proportional to 102,762.60, 154,050.49 and 39,542.39 is: 59,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762.60 : 154,050.49 = 39,542.39 : x
  2. Step 2: Convert to fraction form
    102,762.60/154,050.49 = 39,542.39/x
  3. Step 3: Cross multiply
    102,762.60x = 154,050.49 × 39,542.39
  4. Step 4: Simplify right side
    102,762.60x = 6,091,524,357.56
  5. Step 5: Solve for x
    x = 6,091,524,357.56/102,762.60
  6. Step 6: Final answer
    x = 59,277.64

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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.