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Finding the Fourth Proportional to 224,051.68, 309,198.32 and 128,575.84

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Solution

The fourth proportional to 224,051.68, 309,198.32 and 128,575.84 is: 177,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,051.68 : 309,198.32 = 128,575.84 : x
  2. Step 2: Convert to fraction form
    224,051.68/309,198.32 = 128,575.84/x
  3. Step 3: Cross multiply
    224,051.68x = 309,198.32 × 128,575.84
  4. Step 4: Simplify right side
    224,051.68x = 39,755,433,720.59
  5. Step 5: Solve for x
    x = 39,755,433,720.59/224,051.68
  6. Step 6: Final answer
    x = 177,438.68

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1.5x scale

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.