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Finding the Fourth Proportional to 280,139.50, 420,212.90 and 93,151

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Solution

The fourth proportional to 280,139.50, 420,212.90 and 93,151 is: 139,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,139.50 : 420,212.90 = 93,151 : x
  2. Step 2: Convert to fraction form
    280,139.50/420,212.90 = 93,151/x
  3. Step 3: Cross multiply
    280,139.50x = 420,212.90 × 93,151
  4. Step 4: Simplify right side
    280,139.50x = 39,143,251,847.90
  5. Step 5: Solve for x
    x = 39,143,251,847.90/280,139.50
  6. Step 6: Final answer
    x = 139,727.71

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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.