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Finding the Fourth Proportional to 291,851.70, 437,723.55 and 81,446.10

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Solution

The fourth proportional to 291,851.70, 437,723.55 and 81,446.10 is: 122,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,851.70 : 437,723.55 = 81,446.10 : x
  2. Step 2: Convert to fraction form
    291,851.70/437,723.55 = 81,446.10/x
  3. Step 3: Cross multiply
    291,851.70x = 437,723.55 × 81,446.10
  4. Step 4: Simplify right side
    291,851.70x = 35,650,876,025.66
  5. Step 5: Solve for x
    x = 35,650,876,025.66/291,851.70
  6. Step 6: Final answer
    x = 122,154.08

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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.