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Finding the Fourth Proportional to 251,702.98, 347,271.92 and 142,789.40

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Solution

The fourth proportional to 251,702.98, 347,271.92 and 142,789.40 is: 197,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,702.98 : 347,271.92 = 142,789.40 : x
  2. Step 2: Convert to fraction form
    251,702.98/347,271.92 = 142,789.40/x
  3. Step 3: Cross multiply
    251,702.98x = 347,271.92 × 142,789.40
  4. Step 4: Simplify right side
    251,702.98x = 49,586,749,093.65
  5. Step 5: Solve for x
    x = 49,586,749,093.65/251,702.98
  6. Step 6: Final answer
    x = 197,005.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.