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Finding the Fourth Proportional to 135,478.92, 186,922.73 and 78,113.73

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Solution

The fourth proportional to 135,478.92, 186,922.73 and 78,113.73 is: 107,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478.92 : 186,922.73 = 78,113.73 : x
  2. Step 2: Convert to fraction form
    135,478.92/186,922.73 = 78,113.73/x
  3. Step 3: Cross multiply
    135,478.92x = 186,922.73 × 78,113.73
  4. Step 4: Simplify right side
    135,478.92x = 14,601,231,271.51
  5. Step 5: Solve for x
    x = 14,601,231,271.51/135,478.92
  6. Step 6: Final answer
    x = 107,774.93

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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.