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Finding the Fourth Proportional to 120,394, 179,858.84 and 77,928.12

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Solution

The fourth proportional to 120,394, 179,858.84 and 77,928.12 is: 116,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,394 : 179,858.84 = 77,928.12 : x
  2. Step 2: Convert to fraction form
    120,394/179,858.84 = 77,928.12/x
  3. Step 3: Cross multiply
    120,394x = 179,858.84 × 77,928.12
  4. Step 4: Simplify right side
    120,394x = 14,016,060,876.94
  5. Step 5: Solve for x
    x = 14,016,060,876.94/120,394
  6. Step 6: Final answer
    x = 116,418.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.