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Finding the Fourth Proportional to 253,100.28, 349,267.32 and 145,673.76

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Solution

The fourth proportional to 253,100.28, 349,267.32 and 145,673.76 is: 201,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100.28 : 349,267.32 = 145,673.76 : x
  2. Step 2: Convert to fraction form
    253,100.28/349,267.32 = 145,673.76/x
  3. Step 3: Cross multiply
    253,100.28x = 349,267.32 × 145,673.76
  4. Step 4: Simplify right side
    253,100.28x = 50,879,083,749.52
  5. Step 5: Solve for x
    x = 50,879,083,749.52/253,100.28
  6. Step 6: Final answer
    x = 201,023.42

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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.