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Finding the Fourth Proportional to 253,074.30, 349,225.92 and 145,627

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Solution

The fourth proportional to 253,074.30, 349,225.92 and 145,627 is: 200,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,074.30 : 349,225.92 = 145,627 : x
  2. Step 2: Convert to fraction form
    253,074.30/349,225.92 = 145,627/x
  3. Step 3: Cross multiply
    253,074.30x = 349,225.92 × 145,627
  4. Step 4: Simplify right side
    253,074.30x = 50,856,723,051.84
  5. Step 5: Solve for x
    x = 50,856,723,051.84/253,074.30
  6. Step 6: Final answer
    x = 200,955.70

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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.