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Finding the Fourth Proportional to 137,980.84, 206,823.90 and 78,688.84

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Solution

The fourth proportional to 137,980.84, 206,823.90 and 78,688.84 is: 117,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.84 : 206,823.90 = 78,688.84 : x
  2. Step 2: Convert to fraction form
    137,980.84/206,823.90 = 78,688.84/x
  3. Step 3: Cross multiply
    137,980.84x = 206,823.90 × 78,688.84
  4. Step 4: Simplify right side
    137,980.84x = 16,274,732,775.28
  5. Step 5: Solve for x
    x = 16,274,732,775.28/137,980.84
  6. Step 6: Final answer
    x = 117,949.22

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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.