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Finding the Fourth Proportional to 280,132, 420,201.66 and 93,143.50

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Solution

The fourth proportional to 280,132, 420,201.66 and 93,143.50 is: 139,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,132 : 420,201.66 = 93,143.50 : x
  2. Step 2: Convert to fraction form
    280,132/420,201.66 = 93,143.50/x
  3. Step 3: Cross multiply
    280,132x = 420,201.66 × 93,143.50
  4. Step 4: Simplify right side
    280,132x = 39,139,053,318.21
  5. Step 5: Solve for x
    x = 39,139,053,318.21/280,132
  6. Step 6: Final answer
    x = 139,716.47

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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.