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Finding the Fourth Proportional to 100,965.96, 139,333.14 and 58,549.14

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Solution

The fourth proportional to 100,965.96, 139,333.14 and 58,549.14 is: 80,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965.96 : 139,333.14 = 58,549.14 : x
  2. Step 2: Convert to fraction form
    100,965.96/139,333.14 = 58,549.14/x
  3. Step 3: Cross multiply
    100,965.96x = 139,333.14 × 58,549.14
  4. Step 4: Simplify right side
    100,965.96x = 8,157,835,520.50
  5. Step 5: Solve for x
    x = 8,157,835,520.50/100,965.96
  6. Step 6: Final answer
    x = 80,797.88

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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.