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Finding the Fourth Proportional to 253,093.86, 349,255.89 and 139,909.86

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Solution

The fourth proportional to 253,093.86, 349,255.89 and 139,909.86 is: 193,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,093.86 : 349,255.89 = 139,909.86 : x
  2. Step 2: Convert to fraction form
    253,093.86/349,255.89 = 139,909.86/x
  3. Step 3: Cross multiply
    253,093.86x = 349,255.89 × 139,909.86
  4. Step 4: Simplify right side
    253,093.86x = 48,864,342,674.08
  5. Step 5: Solve for x
    x = 48,864,342,674.08/253,093.86
  6. Step 6: Final answer
    x = 193,068.07

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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.