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Finding the Fourth Proportional to 120,092.58, 180,134.78 and 56,942.96

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Solution

The fourth proportional to 120,092.58, 180,134.78 and 56,942.96 is: 85,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.58 : 180,134.78 = 56,942.96 : x
  2. Step 2: Convert to fraction form
    120,092.58/180,134.78 = 56,942.96/x
  3. Step 3: Cross multiply
    120,092.58x = 180,134.78 × 56,942.96
  4. Step 4: Simplify right side
    120,092.58x = 10,257,406,386.76
  5. Step 5: Solve for x
    x = 10,257,406,386.76/120,092.58
  6. Step 6: Final answer
    x = 85,412.49

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1.5x scale

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.