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Finding the Fourth Proportional to 137,940, 190,357.40 and 78,324

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Solution

The fourth proportional to 137,940, 190,357.40 and 78,324 is: 108,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940 : 190,357.40 = 78,324 : x
  2. Step 2: Convert to fraction form
    137,940/190,357.40 = 78,324/x
  3. Step 3: Cross multiply
    137,940x = 190,357.40 × 78,324
  4. Step 4: Simplify right side
    137,940x = 14,909,552,997.60
  5. Step 5: Solve for x
    x = 14,909,552,997.60/137,940
  6. Step 6: Final answer
    x = 108,087.23

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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.