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Finding the Fourth Proportional to 253,100.57, 349,366.74 and 145,713.41

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Solution

The fourth proportional to 253,100.57, 349,366.74 and 145,713.41 is: 201,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100.57 : 349,366.74 = 145,713.41 : x
  2. Step 2: Convert to fraction form
    253,100.57/349,366.74 = 145,713.41/x
  3. Step 3: Cross multiply
    253,100.57x = 349,366.74 × 145,713.41
  4. Step 4: Simplify right side
    253,100.57x = 50,907,417,279.15
  5. Step 5: Solve for x
    x = 50,907,417,279.15/253,100.57
  6. Step 6: Final answer
    x = 201,135.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.