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Finding the Fourth Proportional to 280,138.50, 420,211.40 and 93,150

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Solution

The fourth proportional to 280,138.50, 420,211.40 and 93,150 is: 139,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,138.50 : 420,211.40 = 93,150 : x
  2. Step 2: Convert to fraction form
    280,138.50/420,211.40 = 93,150/x
  3. Step 3: Cross multiply
    280,138.50x = 420,211.40 × 93,150
  4. Step 4: Simplify right side
    280,138.50x = 39,142,691,444.25
  5. Step 5: Solve for x
    x = 39,142,691,444.25/280,138.50
  6. Step 6: Final answer
    x = 139,726.21

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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.