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Finding the Fourth Proportional to 137,326.50, 189,494.62 and 79,978.35

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Solution

The fourth proportional to 137,326.50, 189,494.62 and 79,978.35 is: 110,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,326.50 : 189,494.62 = 79,978.35 : x
  2. Step 2: Convert to fraction form
    137,326.50/189,494.62 = 79,978.35/x
  3. Step 3: Cross multiply
    137,326.50x = 189,494.62 × 79,978.35
  4. Step 4: Simplify right side
    137,326.50x = 15,155,467,552.14
  5. Step 5: Solve for x
    x = 15,155,467,552.14/137,326.50
  6. Step 6: Final answer
    x = 110,360.84

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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.