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Finding the Fourth Proportional to 105,871.55, 146,102.13 and 57,474.46

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Solution

The fourth proportional to 105,871.55, 146,102.13 and 57,474.46 is: 79,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871.55 : 146,102.13 = 57,474.46 : x
  2. Step 2: Convert to fraction form
    105,871.55/146,102.13 = 57,474.46/x
  3. Step 3: Cross multiply
    105,871.55x = 146,102.13 × 57,474.46
  4. Step 4: Simplify right side
    105,871.55x = 8,397,140,661.34
  5. Step 5: Solve for x
    x = 8,397,140,661.34/105,871.55
  6. Step 6: Final answer
    x = 79,314.42

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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.