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Finding the Fourth Proportional to 105,616.88, 145,751.30 and 57,871.94

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Solution

The fourth proportional to 105,616.88, 145,751.30 and 57,871.94 is: 79,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.88 : 145,751.30 = 57,871.94 : x
  2. Step 2: Convert to fraction form
    105,616.88/145,751.30 = 57,871.94/x
  3. Step 3: Cross multiply
    105,616.88x = 145,751.30 × 57,871.94
  4. Step 4: Simplify right side
    105,616.88x = 8,434,909,470.41
  5. Step 5: Solve for x
    x = 8,434,909,470.41/105,616.88
  6. Step 6: Final answer
    x = 79,863.27

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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.