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Finding the Fourth Proportional to 142,789.40, 214,103.10 and 54,045.80

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Solution

The fourth proportional to 142,789.40, 214,103.10 and 54,045.80 is: 81,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,789.40 : 214,103.10 = 54,045.80 : x
  2. Step 2: Convert to fraction form
    142,789.40/214,103.10 = 54,045.80/x
  3. Step 3: Cross multiply
    142,789.40x = 214,103.10 × 54,045.80
  4. Step 4: Simplify right side
    142,789.40x = 11,571,373,321.98
  5. Step 5: Solve for x
    x = 11,571,373,321.98/142,789.40
  6. Step 6: Final answer
    x = 81,038.04

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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.