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Finding the Fourth Proportional to 306,090.72, 459,135.45 and 81,451.13

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Solution

The fourth proportional to 306,090.72, 459,135.45 and 81,451.13 is: 122,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,090.72 : 459,135.45 = 81,451.13 : x
  2. Step 2: Convert to fraction form
    306,090.72/459,135.45 = 81,451.13/x
  3. Step 3: Cross multiply
    306,090.72x = 459,135.45 × 81,451.13
  4. Step 4: Simplify right side
    306,090.72x = 37,397,098,929.88
  5. Step 5: Solve for x
    x = 37,397,098,929.88/306,090.72
  6. Step 6: Final answer
    x = 122,176.52

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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.