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Finding the Fourth Proportional to 250,294.71, 345,415.31 and 137,117.43

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Solution

The fourth proportional to 250,294.71, 345,415.31 and 137,117.43 is: 189,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,294.71 : 345,415.31 = 137,117.43 : x
  2. Step 2: Convert to fraction form
    250,294.71/345,415.31 = 137,117.43/x
  3. Step 3: Cross multiply
    250,294.71x = 345,415.31 × 137,117.43
  4. Step 4: Simplify right side
    250,294.71x = 47,362,458,904.27
  5. Step 5: Solve for x
    x = 47,362,458,904.27/250,294.71
  6. Step 6: Final answer
    x = 189,226.77

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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.