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Finding the Fourth Proportional to 136,967.87, 189,034.44 and 78,823.40

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Solution

The fourth proportional to 136,967.87, 189,034.44 and 78,823.40 is: 108,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,967.87 : 189,034.44 = 78,823.40 : x
  2. Step 2: Convert to fraction form
    136,967.87/189,034.44 = 78,823.40/x
  3. Step 3: Cross multiply
    136,967.87x = 189,034.44 × 78,823.40
  4. Step 4: Simplify right side
    136,967.87x = 14,900,337,277.90
  5. Step 5: Solve for x
    x = 14,900,337,277.90/136,967.87
  6. Step 6: Final answer
    x = 108,787.10

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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.