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Finding the Fourth Proportional to 105,686.69, 145,847.10 and 57,288.44

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Solution

The fourth proportional to 105,686.69, 145,847.10 and 57,288.44 is: 79,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,686.69 : 145,847.10 = 57,288.44 : x
  2. Step 2: Convert to fraction form
    105,686.69/145,847.10 = 57,288.44/x
  3. Step 3: Cross multiply
    105,686.69x = 145,847.10 × 57,288.44
  4. Step 4: Simplify right side
    105,686.69x = 8,355,352,108.29
  5. Step 5: Solve for x
    x = 8,355,352,108.29/105,686.69
  6. Step 6: Final answer
    x = 79,057.76

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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.