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Finding the Fourth Proportional to 253,309.76, 349,577.76 and 140,130.56

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Solution

The fourth proportional to 253,309.76, 349,577.76 and 140,130.56 is: 193,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,309.76 : 349,577.76 = 140,130.56 : x
  2. Step 2: Convert to fraction form
    253,309.76/349,577.76 = 140,130.56/x
  3. Step 3: Cross multiply
    253,309.76x = 349,577.76 × 140,130.56
  4. Step 4: Simplify right side
    253,309.76x = 48,986,527,272.35
  5. Step 5: Solve for x
    x = 48,986,527,272.35/253,309.76
  6. Step 6: Final answer
    x = 193,385.87

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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.