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Finding the Fourth Proportional to 105,983.64, 158,980.32 and 74,957.40

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Solution

The fourth proportional to 105,983.64, 158,980.32 and 74,957.40 is: 112,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,983.64 : 158,980.32 = 74,957.40 : x
  2. Step 2: Convert to fraction form
    105,983.64/158,980.32 = 74,957.40/x
  3. Step 3: Cross multiply
    105,983.64x = 158,980.32 × 74,957.40
  4. Step 4: Simplify right side
    105,983.64x = 11,916,751,438.37
  5. Step 5: Solve for x
    x = 11,916,751,438.37/105,983.64
  6. Step 6: Final answer
    x = 112,439.54

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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.