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Finding the Fourth Proportional to 224,486.80, 309,844.81 and 129,048.86

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Solution

The fourth proportional to 224,486.80, 309,844.81 and 129,048.86 is: 178,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,486.80 : 309,844.81 = 129,048.86 : x
  2. Step 2: Convert to fraction form
    224,486.80/309,844.81 = 129,048.86/x
  3. Step 3: Cross multiply
    224,486.80x = 309,844.81 × 129,048.86
  4. Step 4: Simplify right side
    224,486.80x = 39,985,119,507.42
  5. Step 5: Solve for x
    x = 39,985,119,507.42/224,486.80
  6. Step 6: Final answer
    x = 178,117.91

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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.