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Finding the Fourth Proportional to 280,125, 420,191.15 and 93,136.50

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Solution

The fourth proportional to 280,125, 420,191.15 and 93,136.50 is: 139,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,125 : 420,191.15 = 93,136.50 : x
  2. Step 2: Convert to fraction form
    280,125/420,191.15 = 93,136.50/x
  3. Step 3: Cross multiply
    280,125x = 420,191.15 × 93,136.50
  4. Step 4: Simplify right side
    280,125x = 39,135,132,576.29
  5. Step 5: Solve for x
    x = 39,135,132,576.29/280,125
  6. Step 6: Final answer
    x = 139,705.96

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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.