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Finding the Fourth Proportional to 251,959.80, 347,705.00 and 137,238.08

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Solution

The fourth proportional to 251,959.80, 347,705.00 and 137,238.08 is: 189,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,959.80 : 347,705.00 = 137,238.08 : x
  2. Step 2: Convert to fraction form
    251,959.80/347,705.00 = 137,238.08/x
  3. Step 3: Cross multiply
    251,959.80x = 347,705.00 × 137,238.08
  4. Step 4: Simplify right side
    251,959.80x = 47,718,367,935.67
  5. Step 5: Solve for x
    x = 47,718,367,935.67/251,959.80
  6. Step 6: Final answer
    x = 189,388.82

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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.