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Finding the Fourth Proportional to 135,288.64, 186,698.54 and 74,861.83

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Solution

The fourth proportional to 135,288.64, 186,698.54 and 74,861.83 is: 103,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,288.64 : 186,698.54 = 74,861.83 : x
  2. Step 2: Convert to fraction form
    135,288.64/186,698.54 = 74,861.83/x
  3. Step 3: Cross multiply
    135,288.64x = 186,698.54 × 74,861.83
  4. Step 4: Simplify right side
    135,288.64x = 13,976,594,362.73
  5. Step 5: Solve for x
    x = 13,976,594,362.73/135,288.64
  6. Step 6: Final answer
    x = 103,309.45

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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.