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Finding the Fourth Proportional to 223,987.40, 309,102.60 and 123,385.40

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Solution

The fourth proportional to 223,987.40, 309,102.60 and 123,385.40 is: 170,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,987.40 : 309,102.60 = 123,385.40 : x
  2. Step 2: Convert to fraction form
    223,987.40/309,102.60 = 123,385.40/x
  3. Step 3: Cross multiply
    223,987.40x = 309,102.60 × 123,385.40
  4. Step 4: Simplify right side
    223,987.40x = 38,138,747,942.04
  5. Step 5: Solve for x
    x = 38,138,747,942.04/223,987.40
  6. Step 6: Final answer
    x = 170,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.