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Finding the Fourth Proportional to 194,931.80, 292,512.90 and 142,208.60

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Solution

The fourth proportional to 194,931.80, 292,512.90 and 142,208.60 is: 213,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931.80 : 292,512.90 = 142,208.60 : x
  2. Step 2: Convert to fraction form
    194,931.80/292,512.90 = 142,208.60/x
  3. Step 3: Cross multiply
    194,931.80x = 292,512.90 × 142,208.60
  4. Step 4: Simplify right side
    194,931.80x = 41,597,849,990.94
  5. Step 5: Solve for x
    x = 41,597,849,990.94/194,931.80
  6. Step 6: Final answer
    x = 213,396.94

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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.