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Finding the Fourth Proportional to 291,756.34, 437,708.31 and 81,394.12

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Solution

The fourth proportional to 291,756.34, 437,708.31 and 81,394.12 is: 122,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,756.34 : 437,708.31 = 81,394.12 : x
  2. Step 2: Convert to fraction form
    291,756.34/437,708.31 = 81,394.12/x
  3. Step 3: Cross multiply
    291,756.34x = 437,708.31 × 81,394.12
  4. Step 4: Simplify right side
    291,756.34x = 35,626,882,709.14
  5. Step 5: Solve for x
    x = 35,626,882,709.14/291,756.34
  6. Step 6: Final answer
    x = 122,111.77

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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.