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Finding the Fourth Proportional to 253,128.20, 379,696.80 and 75,637.40

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Solution

The fourth proportional to 253,128.20, 379,696.80 and 75,637.40 is: 113,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,128.20 : 379,696.80 = 75,637.40 : x
  2. Step 2: Convert to fraction form
    253,128.20/379,696.80 = 75,637.40/x
  3. Step 3: Cross multiply
    253,128.20x = 379,696.80 × 75,637.40
  4. Step 4: Simplify right side
    253,128.20x = 28,719,278,740.32
  5. Step 5: Solve for x
    x = 28,719,278,740.32/253,128.20
  6. Step 6: Final answer
    x = 113,457.44

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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.