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Finding the Fourth Proportional to 201,780.78, 302,688.58 and 52,019.80

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Solution

The fourth proportional to 201,780.78, 302,688.58 and 52,019.80 is: 78,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780.78 : 302,688.58 = 52,019.80 : x
  2. Step 2: Convert to fraction form
    201,780.78/302,688.58 = 52,019.80/x
  3. Step 3: Cross multiply
    201,780.78x = 302,688.58 × 52,019.80
  4. Step 4: Simplify right side
    201,780.78x = 15,745,799,393.88
  5. Step 5: Solve for x
    x = 15,745,799,393.88/201,780.78
  6. Step 6: Final answer
    x = 78,034.19

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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.