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Finding the Fourth Proportional to 138,647.54, 191,340.42 and 78,216.96

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Solution

The fourth proportional to 138,647.54, 191,340.42 and 78,216.96 is: 107,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.54 : 191,340.42 = 78,216.96 : x
  2. Step 2: Convert to fraction form
    138,647.54/191,340.42 = 78,216.96/x
  3. Step 3: Cross multiply
    138,647.54x = 191,340.42 × 78,216.96
  4. Step 4: Simplify right side
    138,647.54x = 14,966,065,977.52
  5. Step 5: Solve for x
    x = 14,966,065,977.52/138,647.54
  6. Step 6: Final answer
    x = 107,943.25

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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.