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Finding the Fourth Proportional to 194,454.80, 291,221.40 and 119,805.20

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Solution

The fourth proportional to 194,454.80, 291,221.40 and 119,805.20 is: 179,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,454.80 : 291,221.40 = 119,805.20 : x
  2. Step 2: Convert to fraction form
    194,454.80/291,221.40 = 119,805.20/x
  3. Step 3: Cross multiply
    194,454.80x = 291,221.40 × 119,805.20
  4. Step 4: Simplify right side
    194,454.80x = 34,889,838,071.28
  5. Step 5: Solve for x
    x = 34,889,838,071.28/194,454.80
  6. Step 6: Final answer
    x = 179,423.90

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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.