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Finding the Fourth Proportional to 115,731.64, 159,690.54 and 72,704.44

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Solution

The fourth proportional to 115,731.64, 159,690.54 and 72,704.44 is: 100,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,731.64 : 159,690.54 = 72,704.44 : x
  2. Step 2: Convert to fraction form
    115,731.64/159,690.54 = 72,704.44/x
  3. Step 3: Cross multiply
    115,731.64x = 159,690.54 × 72,704.44
  4. Step 4: Simplify right side
    115,731.64x = 11,610,211,284.00
  5. Step 5: Solve for x
    x = 11,610,211,284.00/115,731.64
  6. Step 6: Final answer
    x = 100,320.11

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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.