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Finding the Fourth Proportional to 280,140.50, 420,214.40 and 93,152

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Solution

The fourth proportional to 280,140.50, 420,214.40 and 93,152 is: 139,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,140.50 : 420,214.40 = 93,152 : x
  2. Step 2: Convert to fraction form
    280,140.50/420,214.40 = 93,152/x
  3. Step 3: Cross multiply
    280,140.50x = 420,214.40 × 93,152
  4. Step 4: Simplify right side
    280,140.50x = 39,143,811,788.80
  5. Step 5: Solve for x
    x = 39,143,811,788.80/280,140.50
  6. Step 6: Final answer
    x = 139,729.21

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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.