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Finding the Fourth Proportional to 253,317.76, 349,588.80 and 140,138.56

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Solution

The fourth proportional to 253,317.76, 349,588.80 and 140,138.56 is: 193,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,317.76 : 349,588.80 = 140,138.56 : x
  2. Step 2: Convert to fraction form
    253,317.76/349,588.80 = 140,138.56/x
  3. Step 3: Cross multiply
    253,317.76x = 349,588.80 × 140,138.56
  4. Step 4: Simplify right side
    253,317.76x = 48,990,871,024.13
  5. Step 5: Solve for x
    x = 48,990,871,024.13/253,317.76
  6. Step 6: Final answer
    x = 193,396.91

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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.