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Finding the Fourth Proportional to 105,751.54, 145,941.21 and 58,006.90

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Solution

The fourth proportional to 105,751.54, 145,941.21 and 58,006.90 is: 80,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.54 : 145,941.21 = 58,006.90 : x
  2. Step 2: Convert to fraction form
    105,751.54/145,941.21 = 58,006.90/x
  3. Step 3: Cross multiply
    105,751.54x = 145,941.21 × 58,006.90
  4. Step 4: Simplify right side
    105,751.54x = 8,465,597,174.35
  5. Step 5: Solve for x
    x = 8,465,597,174.35/105,751.54
  6. Step 6: Final answer
    x = 80,051.76

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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.