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Finding the Fourth Proportional to 131,475.70, 197,098.35 and 78,829.30

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Solution

The fourth proportional to 131,475.70, 197,098.35 and 78,829.30 is: 118,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,475.70 : 197,098.35 = 78,829.30 : x
  2. Step 2: Convert to fraction form
    131,475.70/197,098.35 = 78,829.30/x
  3. Step 3: Cross multiply
    131,475.70x = 197,098.35 × 78,829.30
  4. Step 4: Simplify right side
    131,475.70x = 15,537,124,961.66
  5. Step 5: Solve for x
    x = 15,537,124,961.66/131,475.70
  6. Step 6: Final answer
    x = 118,174.88

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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.