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Finding the Fourth Proportional to 224,506.72, 309,818.64 and 123,904

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Solution

The fourth proportional to 224,506.72, 309,818.64 and 123,904 is: 170,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,506.72 : 309,818.64 = 123,904 : x
  2. Step 2: Convert to fraction form
    224,506.72/309,818.64 = 123,904/x
  3. Step 3: Cross multiply
    224,506.72x = 309,818.64 × 123,904
  4. Step 4: Simplify right side
    224,506.72x = 38,387,768,770.56
  5. Step 5: Solve for x
    x = 38,387,768,770.56/224,506.72
  6. Step 6: Final answer
    x = 170,987.17

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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.