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Finding the Fourth Proportional to 254,132.67, 380,951.13 and 120,977.16

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Solution

The fourth proportional to 254,132.67, 380,951.13 and 120,977.16 is: 181,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,132.67 : 380,951.13 = 120,977.16 : x
  2. Step 2: Convert to fraction form
    254,132.67/380,951.13 = 120,977.16/x
  3. Step 3: Cross multiply
    254,132.67x = 380,951.13 × 120,977.16
  4. Step 4: Simplify right side
    254,132.67x = 46,086,385,806.19
  5. Step 5: Solve for x
    x = 46,086,385,806.19/254,132.67
  6. Step 6: Final answer
    x = 181,347.74

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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.