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Finding the Fourth Proportional to 254,070.88, 381,106.29 and 67,084

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Solution

The fourth proportional to 254,070.88, 381,106.29 and 67,084 is: 100,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,070.88 : 381,106.29 = 67,084 : x
  2. Step 2: Convert to fraction form
    254,070.88/381,106.29 = 67,084/x
  3. Step 3: Cross multiply
    254,070.88x = 381,106.29 × 67,084
  4. Step 4: Simplify right side
    254,070.88x = 25,566,134,358.36
  5. Step 5: Solve for x
    x = 25,566,134,358.36/254,070.88
  6. Step 6: Final answer
    x = 100,625.99

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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.