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Finding the Fourth Proportional to 251,139.92, 346,573.32 and 137,970

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Solution

The fourth proportional to 251,139.92, 346,573.32 and 137,970 is: 190,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,139.92 : 346,573.32 = 137,970 : x
  2. Step 2: Convert to fraction form
    251,139.92/346,573.32 = 137,970/x
  3. Step 3: Cross multiply
    251,139.92x = 346,573.32 × 137,970
  4. Step 4: Simplify right side
    251,139.92x = 47,816,720,960.40
  5. Step 5: Solve for x
    x = 47,816,720,960.40/251,139.92
  6. Step 6: Final answer
    x = 190,398.73

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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.