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Finding the Fourth Proportional to 201,840.30, 303,416.55 and 172,971.90

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Solution

The fourth proportional to 201,840.30, 303,416.55 and 172,971.90 is: 260,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.30 : 303,416.55 = 172,971.90 : x
  2. Step 2: Convert to fraction form
    201,840.30/303,416.55 = 172,971.90/x
  3. Step 3: Cross multiply
    201,840.30x = 303,416.55 × 172,971.90
  4. Step 4: Simplify right side
    201,840.30x = 52,482,537,144.95
  5. Step 5: Solve for x
    x = 52,482,537,144.95/201,840.30
  6. Step 6: Final answer
    x = 260,020.11

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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.