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Finding the Fourth Proportional to 105,230.16, 157,815.64 and 29,311.44

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Solution

The fourth proportional to 105,230.16, 157,815.64 and 29,311.44 is: 43,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230.16 : 157,815.64 = 29,311.44 : x
  2. Step 2: Convert to fraction form
    105,230.16/157,815.64 = 29,311.44/x
  3. Step 3: Cross multiply
    105,230.16x = 157,815.64 × 29,311.44
  4. Step 4: Simplify right side
    105,230.16x = 4,625,803,662.92
  5. Step 5: Solve for x
    x = 4,625,803,662.92/105,230.16
  6. Step 6: Final answer
    x = 43,958.92

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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.