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Finding the Fourth Proportional to 194,915.80, 292,373.70 and 47,171.80

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Solution

The fourth proportional to 194,915.80, 292,373.70 and 47,171.80 is: 70,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,915.80 : 292,373.70 = 47,171.80 : x
  2. Step 2: Convert to fraction form
    194,915.80/292,373.70 = 47,171.80/x
  3. Step 3: Cross multiply
    194,915.80x = 292,373.70 × 47,171.80
  4. Step 4: Simplify right side
    194,915.80x = 13,791,793,701.66
  5. Step 5: Solve for x
    x = 13,791,793,701.66/194,915.80
  6. Step 6: Final answer
    x = 70,757.70

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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.