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Finding the Fourth Proportional to 252,005.50, 378,015.54 and 65,017

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Solution

The fourth proportional to 252,005.50, 378,015.54 and 65,017 is: 97,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,005.50 : 378,015.54 = 65,017 : x
  2. Step 2: Convert to fraction form
    252,005.50/378,015.54 = 65,017/x
  3. Step 3: Cross multiply
    252,005.50x = 378,015.54 × 65,017
  4. Step 4: Simplify right side
    252,005.50x = 24,577,436,364.18
  5. Step 5: Solve for x
    x = 24,577,436,364.18/252,005.50
  6. Step 6: Final answer
    x = 97,527.38

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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.