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Finding the Fourth Proportional to 201,874.10, 302,811.15 and 145,886.90

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Solution

The fourth proportional to 201,874.10, 302,811.15 and 145,886.90 is: 218,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.10 : 302,811.15 = 145,886.90 : x
  2. Step 2: Convert to fraction form
    201,874.10/302,811.15 = 145,886.90/x
  3. Step 3: Cross multiply
    201,874.10x = 302,811.15 × 145,886.90
  4. Step 4: Simplify right side
    201,874.10x = 44,176,179,958.94
  5. Step 5: Solve for x
    x = 44,176,179,958.94/201,874.10
  6. Step 6: Final answer
    x = 218,830.35

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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.