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Finding the Fourth Proportional to 105,194.54, 145,163.12 and 57,438.74

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Solution

The fourth proportional to 105,194.54, 145,163.12 and 57,438.74 is: 79,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.54 : 145,163.12 = 57,438.74 : x
  2. Step 2: Convert to fraction form
    105,194.54/145,163.12 = 57,438.74/x
  3. Step 3: Cross multiply
    105,194.54x = 145,163.12 × 57,438.74
  4. Step 4: Simplify right side
    105,194.54x = 8,337,986,707.27
  5. Step 5: Solve for x
    x = 8,337,986,707.27/105,194.54
  6. Step 6: Final answer
    x = 79,262.54

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1.5x scale

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.