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Finding the Fourth Proportional to 174,015.40, 261,023.10 and 120,871.30

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Solution

The fourth proportional to 174,015.40, 261,023.10 and 120,871.30 is: 181,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015.40 : 261,023.10 = 120,871.30 : x
  2. Step 2: Convert to fraction form
    174,015.40/261,023.10 = 120,871.30/x
  3. Step 3: Cross multiply
    174,015.40x = 261,023.10 × 120,871.30
  4. Step 4: Simplify right side
    174,015.40x = 31,550,201,427.03
  5. Step 5: Solve for x
    x = 31,550,201,427.03/174,015.40
  6. Step 6: Final answer
    x = 181,306.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.