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Finding the Fourth Proportional to 291,499, 437,248.50 and 81,142.42

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Solution

The fourth proportional to 291,499, 437,248.50 and 81,142.42 is: 121,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,499 : 437,248.50 = 81,142.42 : x
  2. Step 2: Convert to fraction form
    291,499/437,248.50 = 81,142.42/x
  3. Step 3: Cross multiply
    291,499x = 437,248.50 × 81,142.42
  4. Step 4: Simplify right side
    291,499x = 35,479,401,431.37
  5. Step 5: Solve for x
    x = 35,479,401,431.37/291,499
  6. Step 6: Final answer
    x = 121,713.63

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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.