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Finding the Fourth Proportional to 194,764.84, 291,970.92 and 76,404.40

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Solution

The fourth proportional to 194,764.84, 291,970.92 and 76,404.40 is: 114,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,764.84 : 291,970.92 = 76,404.40 : x
  2. Step 2: Convert to fraction form
    194,764.84/291,970.92 = 76,404.40/x
  3. Step 3: Cross multiply
    194,764.84x = 291,970.92 × 76,404.40
  4. Step 4: Simplify right side
    194,764.84x = 22,307,862,516.64
  5. Step 5: Solve for x
    x = 22,307,862,516.64/194,764.84
  6. Step 6: Final answer
    x = 114,537.42

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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.