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Finding the Fourth Proportional to 105,989.92, 146,263.16 and 58,243.28

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Solution

The fourth proportional to 105,989.92, 146,263.16 and 58,243.28 is: 80,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.92 : 146,263.16 = 58,243.28 : x
  2. Step 2: Convert to fraction form
    105,989.92/146,263.16 = 58,243.28/x
  3. Step 3: Cross multiply
    105,989.92x = 146,263.16 × 58,243.28
  4. Step 4: Simplify right side
    105,989.92x = 8,518,846,181.56
  5. Step 5: Solve for x
    x = 8,518,846,181.56/105,989.92
  6. Step 6: Final answer
    x = 80,374.12

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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.