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Finding the Fourth Proportional to 194,909.80, 292,479.90 and 142,186.60

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Solution

The fourth proportional to 194,909.80, 292,479.90 and 142,186.60 is: 213,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,909.80 : 292,479.90 = 142,186.60 : x
  2. Step 2: Convert to fraction form
    194,909.80/292,479.90 = 142,186.60/x
  3. Step 3: Cross multiply
    194,909.80x = 292,479.90 × 142,186.60
  4. Step 4: Simplify right side
    194,909.80x = 41,586,722,549.34
  5. Step 5: Solve for x
    x = 41,586,722,549.34/194,909.80
  6. Step 6: Final answer
    x = 213,363.94

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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.