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Finding the Fourth Proportional to 72,936.64, 109,448.30 and 31,383.64

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Solution

The fourth proportional to 72,936.64, 109,448.30 and 31,383.64 is: 47,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,936.64 : 109,448.30 = 31,383.64 : x
  2. Step 2: Convert to fraction form
    72,936.64/109,448.30 = 31,383.64/x
  3. Step 3: Cross multiply
    72,936.64x = 109,448.30 × 31,383.64
  4. Step 4: Simplify right side
    72,936.64x = 3,434,886,045.81
  5. Step 5: Solve for x
    x = 3,434,886,045.81/72,936.64
  6. Step 6: Final answer
    x = 47,094.11

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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.