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Finding the Fourth Proportional to 191,925.70, 264,980.73 and 120,403.78

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Solution

The fourth proportional to 191,925.70, 264,980.73 and 120,403.78 is: 166,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,925.70 : 264,980.73 = 120,403.78 : x
  2. Step 2: Convert to fraction form
    191,925.70/264,980.73 = 120,403.78/x
  3. Step 3: Cross multiply
    191,925.70x = 264,980.73 × 120,403.78
  4. Step 4: Simplify right side
    191,925.70x = 31,904,681,519.16
  5. Step 5: Solve for x
    x = 31,904,681,519.16/191,925.70
  6. Step 6: Final answer
    x = 166,234.55

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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.