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Finding the Fourth Proportional to 142,506.30, 213,625.80 and 53,819.40

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Solution

The fourth proportional to 142,506.30, 213,625.80 and 53,819.40 is: 80,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506.30 : 213,625.80 = 53,819.40 : x
  2. Step 2: Convert to fraction form
    142,506.30/213,625.80 = 53,819.40/x
  3. Step 3: Cross multiply
    142,506.30x = 213,625.80 × 53,819.40
  4. Step 4: Simplify right side
    142,506.30x = 11,497,212,380.52
  5. Step 5: Solve for x
    x = 11,497,212,380.52/142,506.30
  6. Step 6: Final answer
    x = 80,678.63

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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.