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Finding the Fourth Proportional to 189,804.96, 261,933.95 and 113,330.74

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Solution

The fourth proportional to 189,804.96, 261,933.95 and 113,330.74 is: 156,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,804.96 : 261,933.95 = 113,330.74 : x
  2. Step 2: Convert to fraction form
    189,804.96/261,933.95 = 113,330.74/x
  3. Step 3: Cross multiply
    189,804.96x = 261,933.95 × 113,330.74
  4. Step 4: Simplify right side
    189,804.96x = 29,685,168,013.12
  5. Step 5: Solve for x
    x = 29,685,168,013.12/189,804.96
  6. Step 6: Final answer
    x = 156,398.27

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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.