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Finding the Fourth Proportional to 309,872.16, 464,731.68 and 85,221.69

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Solution

The fourth proportional to 309,872.16, 464,731.68 and 85,221.69 is: 127,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,872.16 : 464,731.68 = 85,221.69 : x
  2. Step 2: Convert to fraction form
    309,872.16/464,731.68 = 85,221.69/x
  3. Step 3: Cross multiply
    309,872.16x = 464,731.68 × 85,221.69
  4. Step 4: Simplify right side
    309,872.16x = 39,605,219,166.14
  5. Step 5: Solve for x
    x = 39,605,219,166.14/309,872.16
  6. Step 6: Final answer
    x = 127,811.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.