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Finding the Fourth Proportional to 253,030.26, 379,532.43 and 75,538.74

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Solution

The fourth proportional to 253,030.26, 379,532.43 and 75,538.74 is: 113,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,030.26 : 379,532.43 = 75,538.74 : x
  2. Step 2: Convert to fraction form
    253,030.26/379,532.43 = 75,538.74/x
  3. Step 3: Cross multiply
    253,030.26x = 379,532.43 × 75,538.74
  4. Step 4: Simplify right side
    253,030.26x = 28,669,401,551.34
  5. Step 5: Solve for x
    x = 28,669,401,551.34/253,030.26
  6. Step 6: Final answer
    x = 113,304.24

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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.