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Finding the Fourth Proportional to 215,424, 297,308.16 and 126,074.88

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Solution

The fourth proportional to 215,424, 297,308.16 and 126,074.88 is: 173,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 297,308.16 = 126,074.88 : x
  2. Step 2: Convert to fraction form
    215,424/297,308.16 = 126,074.88/x
  3. Step 3: Cross multiply
    215,424x = 297,308.16 × 126,074.88
  4. Step 4: Simplify right side
    215,424x = 37,483,090,595.02
  5. Step 5: Solve for x
    x = 37,483,090,595.02/215,424
  6. Step 6: Final answer
    x = 173,996.82

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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.