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Finding the Fourth Proportional to 253,033.86, 349,186.83 and 139,856.64

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Solution

The fourth proportional to 253,033.86, 349,186.83 and 139,856.64 is: 193,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,033.86 : 349,186.83 = 139,856.64 : x
  2. Step 2: Convert to fraction form
    253,033.86/349,186.83 = 139,856.64/x
  3. Step 3: Cross multiply
    253,033.86x = 349,186.83 × 139,856.64
  4. Step 4: Simplify right side
    253,033.86x = 48,836,096,776.05
  5. Step 5: Solve for x
    x = 48,836,096,776.05/253,033.86
  6. Step 6: Final answer
    x = 193,002.22

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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.