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Finding the Fourth Proportional to 229,855.80, 344,978.10 and 103,690.20

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Solution

The fourth proportional to 229,855.80, 344,978.10 and 103,690.20 is: 155,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,855.80 : 344,978.10 = 103,690.20 : x
  2. Step 2: Convert to fraction form
    229,855.80/344,978.10 = 103,690.20/x
  3. Step 3: Cross multiply
    229,855.80x = 344,978.10 × 103,690.20
  4. Step 4: Simplify right side
    229,855.80x = 35,770,848,184.62
  5. Step 5: Solve for x
    x = 35,770,848,184.62/229,855.80
  6. Step 6: Final answer
    x = 155,623.00

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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.