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Finding the Fourth Proportional to 191,930.56, 264,691.92 and 120,318.40

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Solution

The fourth proportional to 191,930.56, 264,691.92 and 120,318.40 is: 165,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,930.56 : 264,691.92 = 120,318.40 : x
  2. Step 2: Convert to fraction form
    191,930.56/264,691.92 = 120,318.40/x
  3. Step 3: Cross multiply
    191,930.56x = 264,691.92 × 120,318.40
  4. Step 4: Simplify right side
    191,930.56x = 31,847,308,307.33
  5. Step 5: Solve for x
    x = 31,847,308,307.33/191,930.56
  6. Step 6: Final answer
    x = 165,931.41

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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.