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Finding the Fourth Proportional to 120,605.76, 166,367.52 and 75,816

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Solution

The fourth proportional to 120,605.76, 166,367.52 and 75,816 is: 104,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.76 : 166,367.52 = 75,816 : x
  2. Step 2: Convert to fraction form
    120,605.76/166,367.52 = 75,816/x
  3. Step 3: Cross multiply
    120,605.76x = 166,367.52 × 75,816
  4. Step 4: Simplify right side
    120,605.76x = 12,613,319,896.32
  5. Step 5: Solve for x
    x = 12,613,319,896.32/120,605.76
  6. Step 6: Final answer
    x = 104,583.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.