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Finding the Fourth Proportional to 73,141.80, 109,690.24 and 31,021.12

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Solution

The fourth proportional to 73,141.80, 109,690.24 and 31,021.12 is: 46,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141.80 : 109,690.24 = 31,021.12 : x
  2. Step 2: Convert to fraction form
    73,141.80/109,690.24 = 31,021.12/x
  3. Step 3: Cross multiply
    73,141.80x = 109,690.24 × 31,021.12
  4. Step 4: Simplify right side
    73,141.80x = 3,402,714,097.87
  5. Step 5: Solve for x
    x = 3,402,714,097.87/73,141.80
  6. Step 6: Final answer
    x = 46,522.15

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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.