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Finding the Fourth Proportional to 123,780, 170,816.40 and 67,191.84

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Solution

The fourth proportional to 123,780, 170,816.40 and 67,191.84 is: 92,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,780 : 170,816.40 = 67,191.84 : x
  2. Step 2: Convert to fraction form
    123,780/170,816.40 = 67,191.84/x
  3. Step 3: Cross multiply
    123,780x = 170,816.40 × 67,191.84
  4. Step 4: Simplify right side
    123,780x = 11,477,468,218.18
  5. Step 5: Solve for x
    x = 11,477,468,218.18/123,780
  6. Step 6: Final answer
    x = 92,724.74

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1.5x scale

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.