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Finding the Fourth Proportional to 137,560.95, 206,341.43 and 78,511.95

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Solution

The fourth proportional to 137,560.95, 206,341.43 and 78,511.95 is: 117,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,560.95 : 206,341.43 = 78,511.95 : x
  2. Step 2: Convert to fraction form
    137,560.95/206,341.43 = 78,511.95/x
  3. Step 3: Cross multiply
    137,560.95x = 206,341.43 × 78,511.95
  4. Step 4: Simplify right side
    137,560.95x = 16,200,267,642.53
  5. Step 5: Solve for x
    x = 16,200,267,642.53/137,560.95
  6. Step 6: Final answer
    x = 117,767.93

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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.