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Finding the Fourth Proportional to 253,707.12, 380,527.88 and 120,671.91

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Solution

The fourth proportional to 253,707.12, 380,527.88 and 120,671.91 is: 180,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,707.12 : 380,527.88 = 120,671.91 : x
  2. Step 2: Convert to fraction form
    253,707.12/380,527.88 = 120,671.91/x
  3. Step 3: Cross multiply
    253,707.12x = 380,527.88 × 120,671.91
  4. Step 4: Simplify right side
    253,707.12x = 45,919,026,087.85
  5. Step 5: Solve for x
    x = 45,919,026,087.85/253,707.12
  6. Step 6: Final answer
    x = 180,992.26

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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.