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Finding the Fourth Proportional to 201,665.70, 302,498.55 and 83,421.90

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Solution

The fourth proportional to 201,665.70, 302,498.55 and 83,421.90 is: 125,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.70 : 302,498.55 = 83,421.90 : x
  2. Step 2: Convert to fraction form
    201,665.70/302,498.55 = 83,421.90/x
  3. Step 3: Cross multiply
    201,665.70x = 302,498.55 × 83,421.90
  4. Step 4: Simplify right side
    201,665.70x = 25,235,003,788.25
  5. Step 5: Solve for x
    x = 25,235,003,788.25/201,665.70
  6. Step 6: Final answer
    x = 125,132.85

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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.