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Finding the Fourth Proportional to 194,280, 291,406.62 and 119,411.70

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Solution

The fourth proportional to 194,280, 291,406.62 and 119,411.70 is: 179,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280 : 291,406.62 = 119,411.70 : x
  2. Step 2: Convert to fraction form
    194,280/291,406.62 = 119,411.70/x
  3. Step 3: Cross multiply
    194,280x = 291,406.62 × 119,411.70
  4. Step 4: Simplify right side
    194,280x = 34,797,360,333.25
  5. Step 5: Solve for x
    x = 34,797,360,333.25/194,280
  6. Step 6: Final answer
    x = 179,109.33

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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.