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Finding the Fourth Proportional to 254,820.90, 382,340.70 and 130,161.90

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Solution

The fourth proportional to 254,820.90, 382,340.70 and 130,161.90 is: 195,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,820.90 : 382,340.70 = 130,161.90 : x
  2. Step 2: Convert to fraction form
    254,820.90/382,340.70 = 130,161.90/x
  3. Step 3: Cross multiply
    254,820.90x = 382,340.70 × 130,161.90
  4. Step 4: Simplify right side
    254,820.90x = 49,766,191,959.33
  5. Step 5: Solve for x
    x = 49,766,191,959.33/254,820.90
  6. Step 6: Final answer
    x = 195,298.71

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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.