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Finding the Fourth Proportional to 251,065.86, 346,487.85 and 137,889.78

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Solution

The fourth proportional to 251,065.86, 346,487.85 and 137,889.78 is: 190,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,065.86 : 346,487.85 = 137,889.78 : x
  2. Step 2: Convert to fraction form
    251,065.86/346,487.85 = 137,889.78/x
  3. Step 3: Cross multiply
    251,065.86x = 346,487.85 × 137,889.78
  4. Step 4: Simplify right side
    251,065.86x = 47,777,133,409.17
  5. Step 5: Solve for x
    x = 47,777,133,409.17/251,065.86
  6. Step 6: Final answer
    x = 190,297.21

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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.