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Finding the Fourth Proportional to 191,245.86, 286,606.35 and 120,999.42

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Solution

The fourth proportional to 191,245.86, 286,606.35 and 120,999.42 is: 181,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,245.86 : 286,606.35 = 120,999.42 : x
  2. Step 2: Convert to fraction form
    191,245.86/286,606.35 = 120,999.42/x
  3. Step 3: Cross multiply
    191,245.86x = 286,606.35 × 120,999.42
  4. Step 4: Simplify right side
    191,245.86x = 34,679,202,118.32
  5. Step 5: Solve for x
    x = 34,679,202,118.32/191,245.86
  6. Step 6: Final answer
    x = 181,333.09

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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.