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Finding the Fourth Proportional to 137,409.90, 205,655.58 and 78,229.68

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Solution

The fourth proportional to 137,409.90, 205,655.58 and 78,229.68 is: 117,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.90 : 205,655.58 = 78,229.68 : x
  2. Step 2: Convert to fraction form
    137,409.90/205,655.58 = 78,229.68/x
  3. Step 3: Cross multiply
    137,409.90x = 205,655.58 × 78,229.68
  4. Step 4: Simplify right side
    137,409.90x = 16,088,370,213.61
  5. Step 5: Solve for x
    x = 16,088,370,213.61/137,409.90
  6. Step 6: Final answer
    x = 117,083.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.