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Finding the Fourth Proportional to 280,281.65, 420,172.48 and 102,747.22

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Solution

The fourth proportional to 280,281.65, 420,172.48 and 102,747.22 is: 154,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,281.65 : 420,172.48 = 102,747.22 : x
  2. Step 2: Convert to fraction form
    280,281.65/420,172.48 = 102,747.22/x
  3. Step 3: Cross multiply
    280,281.65x = 420,172.48 × 102,747.22
  4. Step 4: Simplify right side
    280,281.65x = 43,171,552,933.21
  5. Step 5: Solve for x
    x = 43,171,552,933.21/280,281.65
  6. Step 6: Final answer
    x = 154,029.18

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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.