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Finding the Fourth Proportional to 105,806.10, 146,014.21 and 58,063.89

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Solution

The fourth proportional to 105,806.10, 146,014.21 and 58,063.89 is: 80,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.10 : 146,014.21 = 58,063.89 : x
  2. Step 2: Convert to fraction form
    105,806.10/146,014.21 = 58,063.89/x
  3. Step 3: Cross multiply
    105,806.10x = 146,014.21 × 58,063.89
  4. Step 4: Simplify right side
    105,806.10x = 8,478,153,027.88
  5. Step 5: Solve for x
    x = 8,478,153,027.88/105,806.10
  6. Step 6: Final answer
    x = 80,129.15

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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.