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Finding the Fourth Proportional to 119,800, 179,708.64 and 45,928

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Solution

The fourth proportional to 119,800, 179,708.64 and 45,928 is: 68,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800 : 179,708.64 = 45,928 : x
  2. Step 2: Convert to fraction form
    119,800/179,708.64 = 45,928/x
  3. Step 3: Cross multiply
    119,800x = 179,708.64 × 45,928
  4. Step 4: Simplify right side
    119,800x = 8,253,658,417.92
  5. Step 5: Solve for x
    x = 8,253,658,417.92/119,800
  6. Step 6: Final answer
    x = 68,895.31

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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.