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Finding the Fourth Proportional to 191,406.24, 264,102.12 and 115,911

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Solution

The fourth proportional to 191,406.24, 264,102.12 and 115,911 is: 159,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,406.24 : 264,102.12 = 115,911 : x
  2. Step 2: Convert to fraction form
    191,406.24/264,102.12 = 115,911/x
  3. Step 3: Cross multiply
    191,406.24x = 264,102.12 × 115,911
  4. Step 4: Simplify right side
    191,406.24x = 30,612,340,831.32
  5. Step 5: Solve for x
    x = 30,612,340,831.32/191,406.24
  6. Step 6: Final answer
    x = 159,933.87

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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.