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Finding the Fourth Proportional to 254,271.76, 381,426.36 and 67,282

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Solution

The fourth proportional to 254,271.76, 381,426.36 and 67,282 is: 100,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,271.76 : 381,426.36 = 67,282 : x
  2. Step 2: Convert to fraction form
    254,271.76/381,426.36 = 67,282/x
  3. Step 3: Cross multiply
    254,271.76x = 381,426.36 × 67,282
  4. Step 4: Simplify right side
    254,271.76x = 25,663,128,353.52
  5. Step 5: Solve for x
    x = 25,663,128,353.52/254,271.76
  6. Step 6: Final answer
    x = 100,927.95

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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.