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Finding the Fourth Proportional to 253,938.60, 380,933.82 and 87,705

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Solution

The fourth proportional to 253,938.60, 380,933.82 and 87,705 is: 131,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,938.60 : 380,933.82 = 87,705 : x
  2. Step 2: Convert to fraction form
    253,938.60/380,933.82 = 87,705/x
  3. Step 3: Cross multiply
    253,938.60x = 380,933.82 × 87,705
  4. Step 4: Simplify right side
    253,938.60x = 33,409,800,683.10
  5. Step 5: Solve for x
    x = 33,409,800,683.10/253,938.60
  6. Step 6: Final answer
    x = 131,566.45

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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.