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Finding the Fourth Proportional to 145,070.62, 200,206.52 and 83,819.44

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Solution

The fourth proportional to 145,070.62, 200,206.52 and 83,819.44 is: 115,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,070.62 : 200,206.52 = 83,819.44 : x
  2. Step 2: Convert to fraction form
    145,070.62/200,206.52 = 83,819.44/x
  3. Step 3: Cross multiply
    145,070.62x = 200,206.52 × 83,819.44
  4. Step 4: Simplify right side
    145,070.62x = 16,781,198,390.75
  5. Step 5: Solve for x
    x = 16,781,198,390.75/145,070.62
  6. Step 6: Final answer
    x = 115,676.06

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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.