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Finding the Fourth Proportional to 281,097.66, 421,702.92 and 103,605.60

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Solution

The fourth proportional to 281,097.66, 421,702.92 and 103,605.60 is: 155,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,097.66 : 421,702.92 = 103,605.60 : x
  2. Step 2: Convert to fraction form
    281,097.66/421,702.92 = 103,605.60/x
  3. Step 3: Cross multiply
    281,097.66x = 421,702.92 × 103,605.60
  4. Step 4: Simplify right side
    281,097.66x = 43,690,784,048.35
  5. Step 5: Solve for x
    x = 43,690,784,048.35/281,097.66
  6. Step 6: Final answer
    x = 155,429.20

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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.