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Finding the Fourth Proportional to 201,746.20, 301,841.70 and 131,762.20

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Solution

The fourth proportional to 201,746.20, 301,841.70 and 131,762.20 is: 197,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746.20 : 301,841.70 = 131,762.20 : x
  2. Step 2: Convert to fraction form
    201,746.20/301,841.70 = 131,762.20/x
  3. Step 3: Cross multiply
    201,746.20x = 301,841.70 × 131,762.20
  4. Step 4: Simplify right side
    201,746.20x = 39,771,326,443.74
  5. Step 5: Solve for x
    x = 39,771,326,443.74/201,746.20
  6. Step 6: Final answer
    x = 197,135.44

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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.