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Finding the Fourth Proportional to 280,161.94, 420,048.50 and 102,644.50

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Solution

The fourth proportional to 280,161.94, 420,048.50 and 102,644.50 is: 153,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,161.94 : 420,048.50 = 102,644.50 : x
  2. Step 2: Convert to fraction form
    280,161.94/420,048.50 = 102,644.50/x
  3. Step 3: Cross multiply
    280,161.94x = 420,048.50 × 102,644.50
  4. Step 4: Simplify right side
    280,161.94x = 43,115,668,258.25
  5. Step 5: Solve for x
    x = 43,115,668,258.25/280,161.94
  6. Step 6: Final answer
    x = 153,895.52

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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.