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Finding the Fourth Proportional to 253,142.10, 379,713.51 and 103,382.40

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Solution

The fourth proportional to 253,142.10, 379,713.51 and 103,382.40 is: 155,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,142.10 : 379,713.51 = 103,382.40 : x
  2. Step 2: Convert to fraction form
    253,142.10/379,713.51 = 103,382.40/x
  3. Step 3: Cross multiply
    253,142.10x = 379,713.51 × 103,382.40
  4. Step 4: Simplify right side
    253,142.10x = 39,255,693,976.22
  5. Step 5: Solve for x
    x = 39,255,693,976.22/253,142.10
  6. Step 6: Final answer
    x = 155,073.75

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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.